Home / 1,026.41-1,416.45-560.66

Finding the Fourth Proportional to 1,026.41, 1,416.45 and 560.66

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Solution

The fourth proportional to 1,026.41, 1,416.45 and 560.66 is: 773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.41 : 1,416.45 = 560.66 : x
  2. Step 2: Convert to fraction form
    1,026.41/1,416.45 = 560.66/x
  3. Step 3: Cross multiply
    1,026.41x = 1,416.45 × 560.66
  4. Step 4: Simplify right side
    1,026.41x = 794,146.69
  5. Step 5: Solve for x
    x = 794,146.69/1,026.41
  6. Step 6: Final answer
    x = 773.71

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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.