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Finding the Fourth Proportional to 831.32, 1,247.52 and 557.72

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Solution

The fourth proportional to 831.32, 1,247.52 and 557.72 is: 836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.32 : 1,247.52 = 557.72 : x
  2. Step 2: Convert to fraction form
    831.32/1,247.52 = 557.72/x
  3. Step 3: Cross multiply
    831.32x = 1,247.52 × 557.72
  4. Step 4: Simplify right side
    831.32x = 695,766.85
  5. Step 5: Solve for x
    x = 695,766.85/831.32
  6. Step 6: Final answer
    x = 836.94

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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.