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Finding the Fourth Proportional to 831.78, 1,252.62 and 724.86

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Solution

The fourth proportional to 831.78, 1,252.62 and 724.86 is: 1,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.78 : 1,252.62 = 724.86 : x
  2. Step 2: Convert to fraction form
    831.78/1,252.62 = 724.86/x
  3. Step 3: Cross multiply
    831.78x = 1,252.62 × 724.86
  4. Step 4: Simplify right side
    831.78x = 907,974.13
  5. Step 5: Solve for x
    x = 907,974.13/831.78
  6. Step 6: Final answer
    x = 1,091.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.