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Finding the Fourth Proportional to 1,496.67, 2,245.09 and 456.74

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Solution

The fourth proportional to 1,496.67, 2,245.09 and 456.74 is: 685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.67 : 2,245.09 = 456.74 : x
  2. Step 2: Convert to fraction form
    1,496.67/2,245.09 = 456.74/x
  3. Step 3: Cross multiply
    1,496.67x = 2,245.09 × 456.74
  4. Step 4: Simplify right side
    1,496.67x = 1,025,420.12
  5. Step 5: Solve for x
    x = 1,025,420.12/1,496.67
  6. Step 6: Final answer
    x = 685.14

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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.