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Finding the Fourth Proportional to 486.08, 727.92 and 348.56

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Solution

The fourth proportional to 486.08, 727.92 and 348.56 is: 521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.08 : 727.92 = 348.56 : x
  2. Step 2: Convert to fraction form
    486.08/727.92 = 348.56/x
  3. Step 3: Cross multiply
    486.08x = 727.92 × 348.56
  4. Step 4: Simplify right side
    486.08x = 253,723.80
  5. Step 5: Solve for x
    x = 253,723.80/486.08
  6. Step 6: Final answer
    x = 521.98

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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.