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Finding the Fourth Proportional to 486.38, 728.48 and 405.59

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Solution

The fourth proportional to 486.38, 728.48 and 405.59 is: 607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.38 : 728.48 = 405.59 : x
  2. Step 2: Convert to fraction form
    486.38/728.48 = 405.59/x
  3. Step 3: Cross multiply
    486.38x = 728.48 × 405.59
  4. Step 4: Simplify right side
    486.38x = 295,458.53
  5. Step 5: Solve for x
    x = 295,458.53/486.38
  6. Step 6: Final answer
    x = 607.47

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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.