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Finding the Fourth Proportional to 488.97, 729.88 and 424.42

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Solution

The fourth proportional to 488.97, 729.88 and 424.42 is: 633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.97 : 729.88 = 424.42 : x
  2. Step 2: Convert to fraction form
    488.97/729.88 = 424.42/x
  3. Step 3: Cross multiply
    488.97x = 729.88 × 424.42
  4. Step 4: Simplify right side
    488.97x = 309,776.89
  5. Step 5: Solve for x
    x = 309,776.89/488.97
  6. Step 6: Final answer
    x = 633.53

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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.