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Finding the Fourth Proportional to 429.76, 595.52 and 424.48

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Solution

The fourth proportional to 429.76, 595.52 and 424.48 is: 588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.76 : 595.52 = 424.48 : x
  2. Step 2: Convert to fraction form
    429.76/595.52 = 424.48/x
  3. Step 3: Cross multiply
    429.76x = 595.52 × 424.48
  4. Step 4: Simplify right side
    429.76x = 252,786.33
  5. Step 5: Solve for x
    x = 252,786.33/429.76
  6. Step 6: Final answer
    x = 588.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.