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Finding the Fourth Proportional to 496.08, 740.89 and 422.17

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Solution

The fourth proportional to 496.08, 740.89 and 422.17 is: 630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.08 : 740.89 = 422.17 : x
  2. Step 2: Convert to fraction form
    496.08/740.89 = 422.17/x
  3. Step 3: Cross multiply
    496.08x = 740.89 × 422.17
  4. Step 4: Simplify right side
    496.08x = 312,775.72
  5. Step 5: Solve for x
    x = 312,775.72/496.08
  6. Step 6: Final answer
    x = 630.49

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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.