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Finding the Fourth Proportional to 776.16, 1,154.61 and 768.33

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Solution

The fourth proportional to 776.16, 1,154.61 and 768.33 is: 1,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.16 : 1,154.61 = 768.33 : x
  2. Step 2: Convert to fraction form
    776.16/1,154.61 = 768.33/x
  3. Step 3: Cross multiply
    776.16x = 1,154.61 × 768.33
  4. Step 4: Simplify right side
    776.16x = 887,121.50
  5. Step 5: Solve for x
    x = 887,121.50/776.16
  6. Step 6: Final answer
    x = 1,142.96

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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.