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Finding the Fourth Proportional to 921.30, 1,381.67 and 458.79

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Solution

The fourth proportional to 921.30, 1,381.67 and 458.79 is: 688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.30 : 1,381.67 = 458.79 : x
  2. Step 2: Convert to fraction form
    921.30/1,381.67 = 458.79/x
  3. Step 3: Cross multiply
    921.30x = 1,381.67 × 458.79
  4. Step 4: Simplify right side
    921.30x = 633,896.38
  5. Step 5: Solve for x
    x = 633,896.38/921.30
  6. Step 6: Final answer
    x = 688.05

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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.