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Finding the Fourth Proportional to 1,131.67, 1,697.51 and 744.12

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Solution

The fourth proportional to 1,131.67, 1,697.51 and 744.12 is: 1,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.67 : 1,697.51 = 744.12 : x
  2. Step 2: Convert to fraction form
    1,131.67/1,697.51 = 744.12/x
  3. Step 3: Cross multiply
    1,131.67x = 1,697.51 × 744.12
  4. Step 4: Simplify right side
    1,131.67x = 1,263,151.14
  5. Step 5: Solve for x
    x = 1,263,151.14/1,131.67
  6. Step 6: Final answer
    x = 1,116.18

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.