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Finding the Fourth Proportional to 861.12, 1,283.40 and 842.58

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Solution

The fourth proportional to 861.12, 1,283.40 and 842.58 is: 1,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.12 : 1,283.40 = 842.58 : x
  2. Step 2: Convert to fraction form
    861.12/1,283.40 = 842.58/x
  3. Step 3: Cross multiply
    861.12x = 1,283.40 × 842.58
  4. Step 4: Simplify right side
    861.12x = 1,081,367.17
  5. Step 5: Solve for x
    x = 1,081,367.17/861.12
  6. Step 6: Final answer
    x = 1,255.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.