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Finding the Fourth Proportional to 1,109.57, 1,531.17 and 643.82

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Solution

The fourth proportional to 1,109.57, 1,531.17 and 643.82 is: 888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.57 : 1,531.17 = 643.82 : x
  2. Step 2: Convert to fraction form
    1,109.57/1,531.17 = 643.82/x
  3. Step 3: Cross multiply
    1,109.57x = 1,531.17 × 643.82
  4. Step 4: Simplify right side
    1,109.57x = 985,790.21
  5. Step 5: Solve for x
    x = 985,790.21/1,109.57
  6. Step 6: Final answer
    x = 888.45

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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.