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Finding the Fourth Proportional to 1,079.50, 1,619.02 and 386.22

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Solution

The fourth proportional to 1,079.50, 1,619.02 and 386.22 is: 579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.50 : 1,619.02 = 386.22 : x
  2. Step 2: Convert to fraction form
    1,079.50/1,619.02 = 386.22/x
  3. Step 3: Cross multiply
    1,079.50x = 1,619.02 × 386.22
  4. Step 4: Simplify right side
    1,079.50x = 625,293.18
  5. Step 5: Solve for x
    x = 625,293.18/1,079.50
  6. Step 6: Final answer
    x = 579.24

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,080.50, 1,620.52 and 387.22
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.