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Finding the Fourth Proportional to 674.25, 929.98 and 475.49

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Solution

The fourth proportional to 674.25, 929.98 and 475.49 is: 655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.25 : 929.98 = 475.49 : x
  2. Step 2: Convert to fraction form
    674.25/929.98 = 475.49/x
  3. Step 3: Cross multiply
    674.25x = 929.98 × 475.49
  4. Step 4: Simplify right side
    674.25x = 442,196.19
  5. Step 5: Solve for x
    x = 442,196.19/674.25
  6. Step 6: Final answer
    x = 655.83

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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.