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Finding the Fourth Proportional to 777.66, 1,156.84 and 769.84

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Solution

The fourth proportional to 777.66, 1,156.84 and 769.84 is: 1,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.66 : 1,156.84 = 769.84 : x
  2. Step 2: Convert to fraction form
    777.66/1,156.84 = 769.84/x
  3. Step 3: Cross multiply
    777.66x = 1,156.84 × 769.84
  4. Step 4: Simplify right side
    777.66x = 890,581.71
  5. Step 5: Solve for x
    x = 890,581.71/777.66
  6. Step 6: Final answer
    x = 1,145.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.