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Finding the Fourth Proportional to 500.32, 746.69 and 487.36

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Solution

The fourth proportional to 500.32, 746.69 and 487.36 is: 727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.32 : 746.69 = 487.36 : x
  2. Step 2: Convert to fraction form
    500.32/746.69 = 487.36/x
  3. Step 3: Cross multiply
    500.32x = 746.69 × 487.36
  4. Step 4: Simplify right side
    500.32x = 363,906.84
  5. Step 5: Solve for x
    x = 363,906.84/500.32
  6. Step 6: Final answer
    x = 727.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.