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Finding the Fourth Proportional to 674.85, 932.46 and 558.21

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Solution

The fourth proportional to 674.85, 932.46 and 558.21 is: 771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.85 : 932.46 = 558.21 : x
  2. Step 2: Convert to fraction form
    674.85/932.46 = 558.21/x
  3. Step 3: Cross multiply
    674.85x = 932.46 × 558.21
  4. Step 4: Simplify right side
    674.85x = 520,508.50
  5. Step 5: Solve for x
    x = 520,508.50/674.85
  6. Step 6: Final answer
    x = 771.30

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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.