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Finding the Fourth Proportional to 1,131.38, 1,560.44 and 974.29

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Solution

The fourth proportional to 1,131.38, 1,560.44 and 974.29 is: 1,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.38 : 1,560.44 = 974.29 : x
  2. Step 2: Convert to fraction form
    1,131.38/1,560.44 = 974.29/x
  3. Step 3: Cross multiply
    1,131.38x = 1,560.44 × 974.29
  4. Step 4: Simplify right side
    1,131.38x = 1,520,308.41
  5. Step 5: Solve for x
    x = 1,520,308.41/1,131.38
  6. Step 6: Final answer
    x = 1,343.76

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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.