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Finding the Fourth Proportional to 1,115.39, 1,672.46 and 457.09

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Solution

The fourth proportional to 1,115.39, 1,672.46 and 457.09 is: 685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.39 : 1,672.46 = 457.09 : x
  2. Step 2: Convert to fraction form
    1,115.39/1,672.46 = 457.09/x
  3. Step 3: Cross multiply
    1,115.39x = 1,672.46 × 457.09
  4. Step 4: Simplify right side
    1,115.39x = 764,461.70
  5. Step 5: Solve for x
    x = 764,461.70/1,115.39
  6. Step 6: Final answer
    x = 685.37

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Double scale
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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.