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Finding the Fourth Proportional to 574.68, 861.66 and 318.36

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Solution

The fourth proportional to 574.68, 861.66 and 318.36 is: 477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.68 : 861.66 = 318.36 : x
  2. Step 2: Convert to fraction form
    574.68/861.66 = 318.36/x
  3. Step 3: Cross multiply
    574.68x = 861.66 × 318.36
  4. Step 4: Simplify right side
    574.68x = 274,318.08
  5. Step 5: Solve for x
    x = 274,318.08/574.68
  6. Step 6: Final answer
    x = 477.34

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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.