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Finding the Fourth Proportional to 1,109.30, 1,664.08 and 961.88

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Solution

The fourth proportional to 1,109.30, 1,664.08 and 961.88 is: 1,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.30 : 1,664.08 = 961.88 : x
  2. Step 2: Convert to fraction form
    1,109.30/1,664.08 = 961.88/x
  3. Step 3: Cross multiply
    1,109.30x = 1,664.08 × 961.88
  4. Step 4: Simplify right side
    1,109.30x = 1,600,645.27
  5. Step 5: Solve for x
    x = 1,600,645.27/1,109.30
  6. Step 6: Final answer
    x = 1,442.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.