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Finding the Fourth Proportional to 499.08, 746.16 and 422.90

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Solution

The fourth proportional to 499.08, 746.16 and 422.90 is: 632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.08 : 746.16 = 422.90 : x
  2. Step 2: Convert to fraction form
    499.08/746.16 = 422.90/x
  3. Step 3: Cross multiply
    499.08x = 746.16 × 422.90
  4. Step 4: Simplify right side
    499.08x = 315,545.75
  5. Step 5: Solve for x
    x = 315,545.75/499.08
  6. Step 6: Final answer
    x = 632.25

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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.