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Finding the Fourth Proportional to 794.18, 1,193.10 and 761.38

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Solution

The fourth proportional to 794.18, 1,193.10 and 761.38 is: 1,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.18 : 1,193.10 = 761.38 : x
  2. Step 2: Convert to fraction form
    794.18/1,193.10 = 761.38/x
  3. Step 3: Cross multiply
    794.18x = 1,193.10 × 761.38
  4. Step 4: Simplify right side
    794.18x = 908,402.48
  5. Step 5: Solve for x
    x = 908,402.48/794.18
  6. Step 6: Final answer
    x = 1,143.82

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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.