Home / 1,115.10-1,672.49-456.95

Finding the Fourth Proportional to 1,115.10, 1,672.49 and 456.95

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Solution

The fourth proportional to 1,115.10, 1,672.49 and 456.95 is: 685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.10 : 1,672.49 = 456.95 : x
  2. Step 2: Convert to fraction form
    1,115.10/1,672.49 = 456.95/x
  3. Step 3: Cross multiply
    1,115.10x = 1,672.49 × 456.95
  4. Step 4: Simplify right side
    1,115.10x = 764,249.63
  5. Step 5: Solve for x
    x = 764,249.63/1,115.10
  6. Step 6: Final answer
    x = 685.36

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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.