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Finding the Fourth Proportional to 577.31, 862.56 and 428.43

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Solution

The fourth proportional to 577.31, 862.56 and 428.43 is: 640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.31 : 862.56 = 428.43 : x
  2. Step 2: Convert to fraction form
    577.31/862.56 = 428.43/x
  3. Step 3: Cross multiply
    577.31x = 862.56 × 428.43
  4. Step 4: Simplify right side
    577.31x = 369,546.58
  5. Step 5: Solve for x
    x = 369,546.58/577.31
  6. Step 6: Final answer
    x = 640.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.