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Finding the Fourth Proportional to 831.78, 1,147.36 and 520.74

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Solution

The fourth proportional to 831.78, 1,147.36 and 520.74 is: 718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.78 : 1,147.36 = 520.74 : x
  2. Step 2: Convert to fraction form
    831.78/1,147.36 = 520.74/x
  3. Step 3: Cross multiply
    831.78x = 1,147.36 × 520.74
  4. Step 4: Simplify right side
    831.78x = 597,476.25
  5. Step 5: Solve for x
    x = 597,476.25/831.78
  6. Step 6: Final answer
    x = 718.31

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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.