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Finding the Fourth Proportional to 577.38, 863.12 and 431.04

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Solution

The fourth proportional to 577.38, 863.12 and 431.04 is: 644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.38 : 863.12 = 431.04 : x
  2. Step 2: Convert to fraction form
    577.38/863.12 = 431.04/x
  3. Step 3: Cross multiply
    577.38x = 863.12 × 431.04
  4. Step 4: Simplify right side
    577.38x = 372,037.09
  5. Step 5: Solve for x
    x = 372,037.09/577.38
  6. Step 6: Final answer
    x = 644.35

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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.