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Finding the Fourth Proportional to 777.16, 1,156.10 and 769.33

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Solution

The fourth proportional to 777.16, 1,156.10 and 769.33 is: 1,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.16 : 1,156.10 = 769.33 : x
  2. Step 2: Convert to fraction form
    777.16/1,156.10 = 769.33/x
  3. Step 3: Cross multiply
    777.16x = 1,156.10 × 769.33
  4. Step 4: Simplify right side
    777.16x = 889,422.41
  5. Step 5: Solve for x
    x = 889,422.41/777.16
  6. Step 6: Final answer
    x = 1,144.45

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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.