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Finding the Fourth Proportional to 1,132.08, 1,562.38 and 712.76

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Solution

The fourth proportional to 1,132.08, 1,562.38 and 712.76 is: 983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.08 : 1,562.38 = 712.76 : x
  2. Step 2: Convert to fraction form
    1,132.08/1,562.38 = 712.76/x
  3. Step 3: Cross multiply
    1,132.08x = 1,562.38 × 712.76
  4. Step 4: Simplify right side
    1,132.08x = 1,113,601.97
  5. Step 5: Solve for x
    x = 1,113,601.97/1,132.08
  6. Step 6: Final answer
    x = 983.68

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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.