Home / 1,218.66-1,826.34-560.16

Finding the Fourth Proportional to 1,218.66, 1,826.34 and 560.16

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Solution

The fourth proportional to 1,218.66, 1,826.34 and 560.16 is: 839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.66 : 1,826.34 = 560.16 : x
  2. Step 2: Convert to fraction form
    1,218.66/1,826.34 = 560.16/x
  3. Step 3: Cross multiply
    1,218.66x = 1,826.34 × 560.16
  4. Step 4: Simplify right side
    1,218.66x = 1,023,042.61
  5. Step 5: Solve for x
    x = 1,023,042.61/1,218.66
  6. Step 6: Final answer
    x = 839.48

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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.