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Finding the Fourth Proportional to 769.74, 1,061.90 and 520.97

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Solution

The fourth proportional to 769.74, 1,061.90 and 520.97 is: 718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.74 : 1,061.90 = 520.97 : x
  2. Step 2: Convert to fraction form
    769.74/1,061.90 = 520.97/x
  3. Step 3: Cross multiply
    769.74x = 1,061.90 × 520.97
  4. Step 4: Simplify right side
    769.74x = 553,222.00
  5. Step 5: Solve for x
    x = 553,222.00/769.74
  6. Step 6: Final answer
    x = 718.71

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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.