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Finding the Fourth Proportional to 499.43, 752.95 and 464.20

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Solution

The fourth proportional to 499.43, 752.95 and 464.20 is: 699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.43 : 752.95 = 464.20 : x
  2. Step 2: Convert to fraction form
    499.43/752.95 = 464.20/x
  3. Step 3: Cross multiply
    499.43x = 752.95 × 464.20
  4. Step 4: Simplify right side
    499.43x = 349,514.46
  5. Step 5: Solve for x
    x = 349,514.46/499.43
  6. Step 6: Final answer
    x = 699.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.