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Finding the Fourth Proportional to 1,132.91, 1,563.13 and 713.46

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Solution

The fourth proportional to 1,132.91, 1,563.13 and 713.46 is: 984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.91 : 1,563.13 = 713.46 : x
  2. Step 2: Convert to fraction form
    1,132.91/1,563.13 = 713.46/x
  3. Step 3: Cross multiply
    1,132.91x = 1,563.13 × 713.46
  4. Step 4: Simplify right side
    1,132.91x = 1,115,230.73
  5. Step 5: Solve for x
    x = 1,115,230.73/1,132.91
  6. Step 6: Final answer
    x = 984.39

Related Problems

Find fourth proportional to 566.46, 781.57 and 356.73
Half scale
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Double scale
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Similar ratio
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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.