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Finding the Fourth Proportional to 622.69, 932.38 and 524.95

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Solution

The fourth proportional to 622.69, 932.38 and 524.95 is: 786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.69 : 932.38 = 524.95 : x
  2. Step 2: Convert to fraction form
    622.69/932.38 = 524.95/x
  3. Step 3: Cross multiply
    622.69x = 932.38 × 524.95
  4. Step 4: Simplify right side
    622.69x = 489,449.24
  5. Step 5: Solve for x
    x = 489,449.24/622.69
  6. Step 6: Final answer
    x = 786.03

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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.