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Finding the Fourth Proportional to 674.02, 1,008.96 and 491.37

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Solution

The fourth proportional to 674.02, 1,008.96 and 491.37 is: 735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.02 : 1,008.96 = 491.37 : x
  2. Step 2: Convert to fraction form
    674.02/1,008.96 = 491.37/x
  3. Step 3: Cross multiply
    674.02x = 1,008.96 × 491.37
  4. Step 4: Simplify right side
    674.02x = 495,772.68
  5. Step 5: Solve for x
    x = 495,772.68/674.02
  6. Step 6: Final answer
    x = 735.55

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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.