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Finding the Fourth Proportional to 831.71, 1,147.75 and 458.73

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Solution

The fourth proportional to 831.71, 1,147.75 and 458.73 is: 633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.71 : 1,147.75 = 458.73 : x
  2. Step 2: Convert to fraction form
    831.71/1,147.75 = 458.73/x
  3. Step 3: Cross multiply
    831.71x = 1,147.75 × 458.73
  4. Step 4: Simplify right side
    831.71x = 526,505.06
  5. Step 5: Solve for x
    x = 526,505.06/831.71
  6. Step 6: Final answer
    x = 633.04

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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.