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Finding the Fourth Proportional to 1,117.23, 1,674.72 and 386.30

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Solution

The fourth proportional to 1,117.23, 1,674.72 and 386.30 is: 579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.23 : 1,674.72 = 386.30 : x
  2. Step 2: Convert to fraction form
    1,117.23/1,674.72 = 386.30/x
  3. Step 3: Cross multiply
    1,117.23x = 1,674.72 × 386.30
  4. Step 4: Simplify right side
    1,117.23x = 646,935.96
  5. Step 5: Solve for x
    x = 646,935.96/1,117.23
  6. Step 6: Final answer
    x = 579.05

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Double scale
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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.