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Finding the Fourth Proportional to 1,003.23, 1,385.04 and 667.17

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Solution

The fourth proportional to 1,003.23, 1,385.04 and 667.17 is: 921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.23 : 1,385.04 = 667.17 : x
  2. Step 2: Convert to fraction form
    1,003.23/1,385.04 = 667.17/x
  3. Step 3: Cross multiply
    1,003.23x = 1,385.04 × 667.17
  4. Step 4: Simplify right side
    1,003.23x = 924,057.14
  5. Step 5: Solve for x
    x = 924,057.14/1,003.23
  6. Step 6: Final answer
    x = 921.08

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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.