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Finding the Fourth Proportional to 769.24, 1,061.44 and 488.98

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Solution

The fourth proportional to 769.24, 1,061.44 and 488.98 is: 674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.24 : 1,061.44 = 488.98 : x
  2. Step 2: Convert to fraction form
    769.24/1,061.44 = 488.98/x
  3. Step 3: Cross multiply
    769.24x = 1,061.44 × 488.98
  4. Step 4: Simplify right side
    769.24x = 519,022.93
  5. Step 5: Solve for x
    x = 519,022.93/769.24
  6. Step 6: Final answer
    x = 674.72

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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.