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Finding the Fourth Proportional to 831.35, 1,146.87 and 532.45

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Solution

The fourth proportional to 831.35, 1,146.87 and 532.45 is: 734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.35 : 1,146.87 = 532.45 : x
  2. Step 2: Convert to fraction form
    831.35/1,146.87 = 532.45/x
  3. Step 3: Cross multiply
    831.35x = 1,146.87 × 532.45
  4. Step 4: Simplify right side
    831.35x = 610,650.93
  5. Step 5: Solve for x
    x = 610,650.93/831.35
  6. Step 6: Final answer
    x = 734.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.