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Finding the Fourth Proportional to 801.49, 1,200.40 and 508.97

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Solution

The fourth proportional to 801.49, 1,200.40 and 508.97 is: 762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.49 : 1,200.40 = 508.97 : x
  2. Step 2: Convert to fraction form
    801.49/1,200.40 = 508.97/x
  3. Step 3: Cross multiply
    801.49x = 1,200.40 × 508.97
  4. Step 4: Simplify right side
    801.49x = 610,967.59
  5. Step 5: Solve for x
    x = 610,967.59/801.49
  6. Step 6: Final answer
    x = 762.29

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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.