Home / 1,026.36-1,416.39-560.61

Finding the Fourth Proportional to 1,026.36, 1,416.39 and 560.61

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Solution

The fourth proportional to 1,026.36, 1,416.39 and 560.61 is: 773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.36 : 1,416.39 = 560.61 : x
  2. Step 2: Convert to fraction form
    1,026.36/1,416.39 = 560.61/x
  3. Step 3: Cross multiply
    1,026.36x = 1,416.39 × 560.61
  4. Step 4: Simplify right side
    1,026.36x = 794,042.40
  5. Step 5: Solve for x
    x = 794,042.40/1,026.36
  6. Step 6: Final answer
    x = 773.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.