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Finding the Fourth Proportional to 580.38, 801.32 and 405.42

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Solution

The fourth proportional to 580.38, 801.32 and 405.42 is: 559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.38 : 801.32 = 405.42 : x
  2. Step 2: Convert to fraction form
    580.38/801.32 = 405.42/x
  3. Step 3: Cross multiply
    580.38x = 801.32 × 405.42
  4. Step 4: Simplify right side
    580.38x = 324,871.15
  5. Step 5: Solve for x
    x = 324,871.15/580.38
  6. Step 6: Final answer
    x = 559.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.