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Finding the Fourth Proportional to 769.16, 1,061.94 and 563.08

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Solution

The fourth proportional to 769.16, 1,061.94 and 563.08 is: 777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.16 : 1,061.94 = 563.08 : x
  2. Step 2: Convert to fraction form
    769.16/1,061.94 = 563.08/x
  3. Step 3: Cross multiply
    769.16x = 1,061.94 × 563.08
  4. Step 4: Simplify right side
    769.16x = 597,957.18
  5. Step 5: Solve for x
    x = 597,957.18/769.16
  6. Step 6: Final answer
    x = 777.42

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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.