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Finding the Fourth Proportional to 622.68, 932.58 and 518.10

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Solution

The fourth proportional to 622.68, 932.58 and 518.10 is: 775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.68 : 932.58 = 518.10 : x
  2. Step 2: Convert to fraction form
    622.68/932.58 = 518.10/x
  3. Step 3: Cross multiply
    622.68x = 932.58 × 518.10
  4. Step 4: Simplify right side
    622.68x = 483,169.70
  5. Step 5: Solve for x
    x = 483,169.70/622.68
  6. Step 6: Final answer
    x = 775.95

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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.