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Finding the Fourth Proportional to 576.58, 865.98 and 494.50

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Solution

The fourth proportional to 576.58, 865.98 and 494.50 is: 742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.58 : 865.98 = 494.50 : x
  2. Step 2: Convert to fraction form
    576.58/865.98 = 494.50/x
  3. Step 3: Cross multiply
    576.58x = 865.98 × 494.50
  4. Step 4: Simplify right side
    576.58x = 428,227.11
  5. Step 5: Solve for x
    x = 428,227.11/576.58
  6. Step 6: Final answer
    x = 742.70

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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.