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Finding the Fourth Proportional to 788.80, 1,182.78 and 542.38

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Solution

The fourth proportional to 788.80, 1,182.78 and 542.38 is: 813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.80 : 1,182.78 = 542.38 : x
  2. Step 2: Convert to fraction form
    788.80/1,182.78 = 542.38/x
  3. Step 3: Cross multiply
    788.80x = 1,182.78 × 542.38
  4. Step 4: Simplify right side
    788.80x = 641,516.22
  5. Step 5: Solve for x
    x = 641,516.22/788.80
  6. Step 6: Final answer
    x = 813.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.