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Finding the Fourth Proportional to 1,081.68, 1,630.68 and 1,047.66

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Solution

The fourth proportional to 1,081.68, 1,630.68 and 1,047.66 is: 1,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.68 : 1,630.68 = 1,047.66 : x
  2. Step 2: Convert to fraction form
    1,081.68/1,630.68 = 1,047.66/x
  3. Step 3: Cross multiply
    1,081.68x = 1,630.68 × 1,047.66
  4. Step 4: Simplify right side
    1,081.68x = 1,708,398.21
  5. Step 5: Solve for x
    x = 1,708,398.21/1,081.68
  6. Step 6: Final answer
    x = 1,579.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.