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Finding the Fourth Proportional to 487.74, 732.51 and 406.74

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Solution

The fourth proportional to 487.74, 732.51 and 406.74 is: 610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.74 : 732.51 = 406.74 : x
  2. Step 2: Convert to fraction form
    487.74/732.51 = 406.74/x
  3. Step 3: Cross multiply
    487.74x = 732.51 × 406.74
  4. Step 4: Simplify right side
    487.74x = 297,941.12
  5. Step 5: Solve for x
    x = 297,941.12/487.74
  6. Step 6: Final answer
    x = 610.86

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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.