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Finding the Fourth Proportional to 574, 861.36 and 314.08

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Solution

The fourth proportional to 574, 861.36 and 314.08 is: 471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    574 : 861.36 = 314.08 : x
  2. Step 2: Convert to fraction form
    574/861.36 = 314.08/x
  3. Step 3: Cross multiply
    574x = 861.36 × 314.08
  4. Step 4: Simplify right side
    574x = 270,535.95
  5. Step 5: Solve for x
    x = 270,535.95/574
  6. Step 6: Final answer
    x = 471.32

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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.