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Finding the Fourth Proportional to 1,042.78, 1,558.20 and 794.61

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Solution

The fourth proportional to 1,042.78, 1,558.20 and 794.61 is: 1,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.78 : 1,558.20 = 794.61 : x
  2. Step 2: Convert to fraction form
    1,042.78/1,558.20 = 794.61/x
  3. Step 3: Cross multiply
    1,042.78x = 1,558.20 × 794.61
  4. Step 4: Simplify right side
    1,042.78x = 1,238,157.33
  5. Step 5: Solve for x
    x = 1,238,157.33/1,042.78
  6. Step 6: Final answer
    x = 1,187.36

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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.