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Finding the Fourth Proportional to 576.16, 863.20 and 494.24

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Solution

The fourth proportional to 576.16, 863.20 and 494.24 is: 740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.16 : 863.20 = 494.24 : x
  2. Step 2: Convert to fraction form
    576.16/863.20 = 494.24/x
  3. Step 3: Cross multiply
    576.16x = 863.20 × 494.24
  4. Step 4: Simplify right side
    576.16x = 426,627.97
  5. Step 5: Solve for x
    x = 426,627.97/576.16
  6. Step 6: Final answer
    x = 740.47

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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.