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Finding the Fourth Proportional to 769.95, 1,156.10 and 672.39

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Solution

The fourth proportional to 769.95, 1,156.10 and 672.39 is: 1,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.95 : 1,156.10 = 672.39 : x
  2. Step 2: Convert to fraction form
    769.95/1,156.10 = 672.39/x
  3. Step 3: Cross multiply
    769.95x = 1,156.10 × 672.39
  4. Step 4: Simplify right side
    769.95x = 777,346.72
  5. Step 5: Solve for x
    x = 777,346.72/769.95
  6. Step 6: Final answer
    x = 1,009.61

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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.