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Finding the Fourth Proportional to 577.60, 796.80 and 429.76

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Solution

The fourth proportional to 577.60, 796.80 and 429.76 is: 592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.60 : 796.80 = 429.76 : x
  2. Step 2: Convert to fraction form
    577.60/796.80 = 429.76/x
  3. Step 3: Cross multiply
    577.60x = 796.80 × 429.76
  4. Step 4: Simplify right side
    577.60x = 342,432.77
  5. Step 5: Solve for x
    x = 342,432.77/577.60
  6. Step 6: Final answer
    x = 592.85

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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.