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Finding the Fourth Proportional to 1,001.54, 1,380.48 and 669.85

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Solution

The fourth proportional to 1,001.54, 1,380.48 and 669.85 is: 923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.54 : 1,380.48 = 669.85 : x
  2. Step 2: Convert to fraction form
    1,001.54/1,380.48 = 669.85/x
  3. Step 3: Cross multiply
    1,001.54x = 1,380.48 × 669.85
  4. Step 4: Simplify right side
    1,001.54x = 924,708.56
  5. Step 5: Solve for x
    x = 924,708.56/1,001.54
  6. Step 6: Final answer
    x = 923.28

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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.