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Finding the Fourth Proportional to 576.72, 861.03 and 439.02

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Solution

The fourth proportional to 576.72, 861.03 and 439.02 is: 655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.72 : 861.03 = 439.02 : x
  2. Step 2: Convert to fraction form
    576.72/861.03 = 439.02/x
  3. Step 3: Cross multiply
    576.72x = 861.03 × 439.02
  4. Step 4: Simplify right side
    576.72x = 378,009.39
  5. Step 5: Solve for x
    x = 378,009.39/576.72
  6. Step 6: Final answer
    x = 655.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.