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Finding the Fourth Proportional to 674.33, 930.80 and 497.49

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Solution

The fourth proportional to 674.33, 930.80 and 497.49 is: 686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.33 : 930.80 = 497.49 : x
  2. Step 2: Convert to fraction form
    674.33/930.80 = 497.49/x
  3. Step 3: Cross multiply
    674.33x = 930.80 × 497.49
  4. Step 4: Simplify right side
    674.33x = 463,064.94
  5. Step 5: Solve for x
    x = 463,064.94/674.33
  6. Step 6: Final answer
    x = 686.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.