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Finding the Fourth Proportional to 1,086.12, 1,498.22 and 1,013.22

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Solution

The fourth proportional to 1,086.12, 1,498.22 and 1,013.22 is: 1,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.12 : 1,498.22 = 1,013.22 : x
  2. Step 2: Convert to fraction form
    1,086.12/1,498.22 = 1,013.22/x
  3. Step 3: Cross multiply
    1,086.12x = 1,498.22 × 1,013.22
  4. Step 4: Simplify right side
    1,086.12x = 1,518,026.47
  5. Step 5: Solve for x
    x = 1,518,026.47/1,086.12
  6. Step 6: Final answer
    x = 1,397.66

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