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Finding the Fourth Proportional to 801.23, 1,200.87 and 508.73

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Solution

The fourth proportional to 801.23, 1,200.87 and 508.73 is: 762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.23 : 1,200.87 = 508.73 : x
  2. Step 2: Convert to fraction form
    801.23/1,200.87 = 508.73/x
  3. Step 3: Cross multiply
    801.23x = 1,200.87 × 508.73
  4. Step 4: Simplify right side
    801.23x = 610,918.60
  5. Step 5: Solve for x
    x = 610,918.60/801.23
  6. Step 6: Final answer
    x = 762.48

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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.