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Finding the Fourth Proportional to 956.17, 1,432.12 and 831.17

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Solution

The fourth proportional to 956.17, 1,432.12 and 831.17 is: 1,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.17 : 1,432.12 = 831.17 : x
  2. Step 2: Convert to fraction form
    956.17/1,432.12 = 831.17/x
  3. Step 3: Cross multiply
    956.17x = 1,432.12 × 831.17
  4. Step 4: Simplify right side
    956.17x = 1,190,331.02
  5. Step 5: Solve for x
    x = 1,190,331.02/956.17
  6. Step 6: Final answer
    x = 1,244.89

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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.