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Finding the Fourth Proportional to 487.24, 725.77 and 477.52

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Solution

The fourth proportional to 487.24, 725.77 and 477.52 is: 711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.24 : 725.77 = 477.52 : x
  2. Step 2: Convert to fraction form
    487.24/725.77 = 477.52/x
  3. Step 3: Cross multiply
    487.24x = 725.77 × 477.52
  4. Step 4: Simplify right side
    487.24x = 346,569.69
  5. Step 5: Solve for x
    x = 346,569.69/487.24
  6. Step 6: Final answer
    x = 711.29

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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.