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Finding the Fourth Proportional to 622.50, 932.82 and 492.84

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Solution

The fourth proportional to 622.50, 932.82 and 492.84 is: 738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.50 : 932.82 = 492.84 : x
  2. Step 2: Convert to fraction form
    622.50/932.82 = 492.84/x
  3. Step 3: Cross multiply
    622.50x = 932.82 × 492.84
  4. Step 4: Simplify right side
    622.50x = 459,731.01
  5. Step 5: Solve for x
    x = 459,731.01/622.50
  6. Step 6: Final answer
    x = 738.52

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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.