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Finding the Fourth Proportional to 831.79, 1,147.87 and 458.77

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Solution

The fourth proportional to 831.79, 1,147.87 and 458.77 is: 633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.79 : 1,147.87 = 458.77 : x
  2. Step 2: Convert to fraction form
    831.79/1,147.87 = 458.77/x
  3. Step 3: Cross multiply
    831.79x = 1,147.87 × 458.77
  4. Step 4: Simplify right side
    831.79x = 526,608.32
  5. Step 5: Solve for x
    x = 526,608.32/831.79
  6. Step 6: Final answer
    x = 633.10

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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.