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Finding the Fourth Proportional to 921.50, 1,381.14 and 433.60

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Solution

The fourth proportional to 921.50, 1,381.14 and 433.60 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.50 : 1,381.14 = 433.60 : x
  2. Step 2: Convert to fraction form
    921.50/1,381.14 = 433.60/x
  3. Step 3: Cross multiply
    921.50x = 1,381.14 × 433.60
  4. Step 4: Simplify right side
    921.50x = 598,862.30
  5. Step 5: Solve for x
    x = 598,862.30/921.50
  6. Step 6: Final answer
    x = 649.88

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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.