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Finding the Fourth Proportional to 488.49, 731.64 and 342.89

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Solution

The fourth proportional to 488.49, 731.64 and 342.89 is: 513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.49 : 731.64 = 342.89 : x
  2. Step 2: Convert to fraction form
    488.49/731.64 = 342.89/x
  3. Step 3: Cross multiply
    488.49x = 731.64 × 342.89
  4. Step 4: Simplify right side
    488.49x = 250,868.38
  5. Step 5: Solve for x
    x = 250,868.38/488.49
  6. Step 6: Final answer
    x = 513.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.