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Finding the Fourth Proportional to 769.56, 1,061.10 and 620.52

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Solution

The fourth proportional to 769.56, 1,061.10 and 620.52 is: 855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.56 : 1,061.10 = 620.52 : x
  2. Step 2: Convert to fraction form
    769.56/1,061.10 = 620.52/x
  3. Step 3: Cross multiply
    769.56x = 1,061.10 × 620.52
  4. Step 4: Simplify right side
    769.56x = 658,433.77
  5. Step 5: Solve for x
    x = 658,433.77/769.56
  6. Step 6: Final answer
    x = 855.60

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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.