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Finding the Fourth Proportional to 831.87, 1,248.32 and 466.89

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Solution

The fourth proportional to 831.87, 1,248.32 and 466.89 is: 700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.87 : 1,248.32 = 466.89 : x
  2. Step 2: Convert to fraction form
    831.87/1,248.32 = 466.89/x
  3. Step 3: Cross multiply
    831.87x = 1,248.32 × 466.89
  4. Step 4: Simplify right side
    831.87x = 582,828.12
  5. Step 5: Solve for x
    x = 582,828.12/831.87
  6. Step 6: Final answer
    x = 700.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.