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Finding the Fourth Proportional to 576.34, 861.20 and 392.20

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Solution

The fourth proportional to 576.34, 861.20 and 392.20 is: 586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.34 : 861.20 = 392.20 : x
  2. Step 2: Convert to fraction form
    576.34/861.20 = 392.20/x
  3. Step 3: Cross multiply
    576.34x = 861.20 × 392.20
  4. Step 4: Simplify right side
    576.34x = 337,762.64
  5. Step 5: Solve for x
    x = 337,762.64/576.34
  6. Step 6: Final answer
    x = 586.05

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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.