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Finding the Fourth Proportional to 647.38, 892.40 and 553.42

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Solution

The fourth proportional to 647.38, 892.40 and 553.42 is: 762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.38 : 892.40 = 553.42 : x
  2. Step 2: Convert to fraction form
    647.38/892.40 = 553.42/x
  3. Step 3: Cross multiply
    647.38x = 892.40 × 553.42
  4. Step 4: Simplify right side
    647.38x = 493,872.01
  5. Step 5: Solve for x
    x = 493,872.01/647.38
  6. Step 6: Final answer
    x = 762.88

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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.