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Finding the Fourth Proportional to 622.87, 932.93 and 449.02

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Solution

The fourth proportional to 622.87, 932.93 and 449.02 is: 672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.87 : 932.93 = 449.02 : x
  2. Step 2: Convert to fraction form
    622.87/932.93 = 449.02/x
  3. Step 3: Cross multiply
    622.87x = 932.93 × 449.02
  4. Step 4: Simplify right side
    622.87x = 418,904.23
  5. Step 5: Solve for x
    x = 418,904.23/622.87
  6. Step 6: Final answer
    x = 672.54

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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.