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Finding the Fourth Proportional to 831.72, 1,147.60 and 500.02

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Solution

The fourth proportional to 831.72, 1,147.60 and 500.02 is: 689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.72 : 1,147.60 = 500.02 : x
  2. Step 2: Convert to fraction form
    831.72/1,147.60 = 500.02/x
  3. Step 3: Cross multiply
    831.72x = 1,147.60 × 500.02
  4. Step 4: Simplify right side
    831.72x = 573,822.95
  5. Step 5: Solve for x
    x = 573,822.95/831.72
  6. Step 6: Final answer
    x = 689.92

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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.