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Finding the Fourth Proportional to 769.46, 1,155.40 and 607.86

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Solution

The fourth proportional to 769.46, 1,155.40 and 607.86 is: 912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.46 : 1,155.40 = 607.86 : x
  2. Step 2: Convert to fraction form
    769.46/1,155.40 = 607.86/x
  3. Step 3: Cross multiply
    769.46x = 1,155.40 × 607.86
  4. Step 4: Simplify right side
    769.46x = 702,321.44
  5. Step 5: Solve for x
    x = 702,321.44/769.46
  6. Step 6: Final answer
    x = 912.75

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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.