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Finding the Fourth Proportional to 749.47, 1,116.76 and 667.68

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Solution

The fourth proportional to 749.47, 1,116.76 and 667.68 is: 994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.47 : 1,116.76 = 667.68 : x
  2. Step 2: Convert to fraction form
    749.47/1,116.76 = 667.68/x
  3. Step 3: Cross multiply
    749.47x = 1,116.76 × 667.68
  4. Step 4: Simplify right side
    749.47x = 745,634.98
  5. Step 5: Solve for x
    x = 745,634.98/749.47
  6. Step 6: Final answer
    x = 994.88

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