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Finding the Fourth Proportional to 667.32, 999.90 and 474

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Solution

The fourth proportional to 667.32, 999.90 and 474 is: 710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.32 : 999.90 = 474 : x
  2. Step 2: Convert to fraction form
    667.32/999.90 = 474/x
  3. Step 3: Cross multiply
    667.32x = 999.90 × 474
  4. Step 4: Simplify right side
    667.32x = 473,952.60
  5. Step 5: Solve for x
    x = 473,952.60/667.32
  6. Step 6: Final answer
    x = 710.23

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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.