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Finding the Fourth Proportional to 1,141.17, 1,575.03 and 669.09

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Solution

The fourth proportional to 1,141.17, 1,575.03 and 669.09 is: 923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.17 : 1,575.03 = 669.09 : x
  2. Step 2: Convert to fraction form
    1,141.17/1,575.03 = 669.09/x
  3. Step 3: Cross multiply
    1,141.17x = 1,575.03 × 669.09
  4. Step 4: Simplify right side
    1,141.17x = 1,053,836.82
  5. Step 5: Solve for x
    x = 1,053,836.82/1,141.17
  6. Step 6: Final answer
    x = 923.47

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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.