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Finding the Fourth Proportional to 861.76, 1,297.60 and 709.12

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Solution

The fourth proportional to 861.76, 1,297.60 and 709.12 is: 1,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.76 : 1,297.60 = 709.12 : x
  2. Step 2: Convert to fraction form
    861.76/1,297.60 = 709.12/x
  3. Step 3: Cross multiply
    861.76x = 1,297.60 × 709.12
  4. Step 4: Simplify right side
    861.76x = 920,154.11
  5. Step 5: Solve for x
    x = 920,154.11/861.76
  6. Step 6: Final answer
    x = 1,067.76

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.