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Finding the Fourth Proportional to 1,165.28, 1,609.31 and 885.52

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Solution

The fourth proportional to 1,165.28, 1,609.31 and 885.52 is: 1,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.28 : 1,609.31 = 885.52 : x
  2. Step 2: Convert to fraction form
    1,165.28/1,609.31 = 885.52/x
  3. Step 3: Cross multiply
    1,165.28x = 1,609.31 × 885.52
  4. Step 4: Simplify right side
    1,165.28x = 1,425,076.19
  5. Step 5: Solve for x
    x = 1,425,076.19/1,165.28
  6. Step 6: Final answer
    x = 1,222.95

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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.