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Finding the Fourth Proportional to 474, 709.72 and 387.24

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Solution

The fourth proportional to 474, 709.72 and 387.24 is: 579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 709.72 = 387.24 : x
  2. Step 2: Convert to fraction form
    474/709.72 = 387.24/x
  3. Step 3: Cross multiply
    474x = 709.72 × 387.24
  4. Step 4: Simplify right side
    474x = 274,831.97
  5. Step 5: Solve for x
    x = 274,831.97/474
  6. Step 6: Final answer
    x = 579.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.