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Finding the Fourth Proportional to 1,001.97, 1,380.24 and 870.75

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Solution

The fourth proportional to 1,001.97, 1,380.24 and 870.75 is: 1,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.97 : 1,380.24 = 870.75 : x
  2. Step 2: Convert to fraction form
    1,001.97/1,380.24 = 870.75/x
  3. Step 3: Cross multiply
    1,001.97x = 1,380.24 × 870.75
  4. Step 4: Simplify right side
    1,001.97x = 1,201,843.98
  5. Step 5: Solve for x
    x = 1,201,843.98/1,001.97
  6. Step 6: Final answer
    x = 1,199.48

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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.