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Finding the Fourth Proportional to 1,387.11, 2,079.97 and 462.35

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Solution

The fourth proportional to 1,387.11, 2,079.97 and 462.35 is: 693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.11 : 2,079.97 = 462.35 : x
  2. Step 2: Convert to fraction form
    1,387.11/2,079.97 = 462.35/x
  3. Step 3: Cross multiply
    1,387.11x = 2,079.97 × 462.35
  4. Step 4: Simplify right side
    1,387.11x = 961,674.13
  5. Step 5: Solve for x
    x = 961,674.13/1,387.11
  6. Step 6: Final answer
    x = 693.29

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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.