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Finding the Fourth Proportional to 486.47, 729.36 and 280.75

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Solution

The fourth proportional to 486.47, 729.36 and 280.75 is: 420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.47 : 729.36 = 280.75 : x
  2. Step 2: Convert to fraction form
    486.47/729.36 = 280.75/x
  3. Step 3: Cross multiply
    486.47x = 729.36 × 280.75
  4. Step 4: Simplify right side
    486.47x = 204,767.82
  5. Step 5: Solve for x
    x = 204,767.82/486.47
  6. Step 6: Final answer
    x = 420.93

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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.