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Finding the Fourth Proportional to 831.60, 1,250.10 and 712.80

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Solution

The fourth proportional to 831.60, 1,250.10 and 712.80 is: 1,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.60 : 1,250.10 = 712.80 : x
  2. Step 2: Convert to fraction form
    831.60/1,250.10 = 712.80/x
  3. Step 3: Cross multiply
    831.60x = 1,250.10 × 712.80
  4. Step 4: Simplify right side
    831.60x = 891,071.28
  5. Step 5: Solve for x
    x = 891,071.28/831.60
  6. Step 6: Final answer
    x = 1,071.51

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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.