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Finding the Fourth Proportional to 831.92, 1,248.56 and 588.68

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Solution

The fourth proportional to 831.92, 1,248.56 and 588.68 is: 883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.92 : 1,248.56 = 588.68 : x
  2. Step 2: Convert to fraction form
    831.92/1,248.56 = 588.68/x
  3. Step 3: Cross multiply
    831.92x = 1,248.56 × 588.68
  4. Step 4: Simplify right side
    831.92x = 735,002.30
  5. Step 5: Solve for x
    x = 735,002.30/831.92
  6. Step 6: Final answer
    x = 883.50

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1.5x scale

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.