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Finding the Fourth Proportional to 1,109.92, 1,531.65 and 690.18

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Solution

The fourth proportional to 1,109.92, 1,531.65 and 690.18 is: 952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.92 : 1,531.65 = 690.18 : x
  2. Step 2: Convert to fraction form
    1,109.92/1,531.65 = 690.18/x
  3. Step 3: Cross multiply
    1,109.92x = 1,531.65 × 690.18
  4. Step 4: Simplify right side
    1,109.92x = 1,057,103.09
  5. Step 5: Solve for x
    x = 1,057,103.09/1,109.92
  6. Step 6: Final answer
    x = 952.42

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Half scale
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Double scale
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1.5x scale

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.