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Finding the Fourth Proportional to 674.29, 1,012.02 and 492.04

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Solution

The fourth proportional to 674.29, 1,012.02 and 492.04 is: 738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.29 : 1,012.02 = 492.04 : x
  2. Step 2: Convert to fraction form
    674.29/1,012.02 = 492.04/x
  3. Step 3: Cross multiply
    674.29x = 1,012.02 × 492.04
  4. Step 4: Simplify right side
    674.29x = 497,954.32
  5. Step 5: Solve for x
    x = 497,954.32/674.29
  6. Step 6: Final answer
    x = 738.49

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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.