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Finding the Fourth Proportional to 831.64, 1,147.61 and 458.62

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Solution

The fourth proportional to 831.64, 1,147.61 and 458.62 is: 632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.64 : 1,147.61 = 458.62 : x
  2. Step 2: Convert to fraction form
    831.64/1,147.61 = 458.62/x
  3. Step 3: Cross multiply
    831.64x = 1,147.61 × 458.62
  4. Step 4: Simplify right side
    831.64x = 526,315.18
  5. Step 5: Solve for x
    x = 526,315.18/831.64
  6. Step 6: Final answer
    x = 632.87

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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.