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Finding the Fourth Proportional to 769.84, 1,160.32 and 662.92

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Solution

The fourth proportional to 769.84, 1,160.32 and 662.92 is: 999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.84 : 1,160.32 = 662.92 : x
  2. Step 2: Convert to fraction form
    769.84/1,160.32 = 662.92/x
  3. Step 3: Cross multiply
    769.84x = 1,160.32 × 662.92
  4. Step 4: Simplify right side
    769.84x = 769,199.33
  5. Step 5: Solve for x
    x = 769,199.33/769.84
  6. Step 6: Final answer
    x = 999.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.