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Finding the Fourth Proportional to 1,078.86, 1,489.39 and 842.30

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Solution

The fourth proportional to 1,078.86, 1,489.39 and 842.30 is: 1,162.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.86 : 1,489.39 = 842.30 : x
  2. Step 2: Convert to fraction form
    1,078.86/1,489.39 = 842.30/x
  3. Step 3: Cross multiply
    1,078.86x = 1,489.39 × 842.30
  4. Step 4: Simplify right side
    1,078.86x = 1,254,513.20
  5. Step 5: Solve for x
    x = 1,254,513.20/1,078.86
  6. Step 6: Final answer
    x = 1,162.81

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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.