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Finding the Fourth Proportional to 1,115.36, 1,672.56 and 456.78

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Solution

The fourth proportional to 1,115.36, 1,672.56 and 456.78 is: 684.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.36 : 1,672.56 = 456.78 : x
  2. Step 2: Convert to fraction form
    1,115.36/1,672.56 = 456.78/x
  3. Step 3: Cross multiply
    1,115.36x = 1,672.56 × 456.78
  4. Step 4: Simplify right side
    1,115.36x = 763,991.96
  5. Step 5: Solve for x
    x = 763,991.96/1,115.36
  6. Step 6: Final answer
    x = 684.98

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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.