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Finding the Fourth Proportional to 1,386.99, 2,079.78 and 462.22

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Solution

The fourth proportional to 1,386.99, 2,079.78 and 462.22 is: 693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.99 : 2,079.78 = 462.22 : x
  2. Step 2: Convert to fraction form
    1,386.99/2,079.78 = 462.22/x
  3. Step 3: Cross multiply
    1,386.99x = 2,079.78 × 462.22
  4. Step 4: Simplify right side
    1,386.99x = 961,315.91
  5. Step 5: Solve for x
    x = 961,315.91/1,386.99
  6. Step 6: Final answer
    x = 693.10

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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.