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Finding the Fourth Proportional to 769.53, 1,060.92 and 612.69

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Solution

The fourth proportional to 769.53, 1,060.92 and 612.69 is: 844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.53 : 1,060.92 = 612.69 : x
  2. Step 2: Convert to fraction form
    769.53/1,060.92 = 612.69/x
  3. Step 3: Cross multiply
    769.53x = 1,060.92 × 612.69
  4. Step 4: Simplify right side
    769.53x = 650,015.07
  5. Step 5: Solve for x
    x = 650,015.07/769.53
  6. Step 6: Final answer
    x = 844.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.