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Finding the Fourth Proportional to 771.85, 1,151.84 and 689.84

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Solution

The fourth proportional to 771.85, 1,151.84 and 689.84 is: 1,029.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.85 : 1,151.84 = 689.84 : x
  2. Step 2: Convert to fraction form
    771.85/1,151.84 = 689.84/x
  3. Step 3: Cross multiply
    771.85x = 1,151.84 × 689.84
  4. Step 4: Simplify right side
    771.85x = 794,576.10
  5. Step 5: Solve for x
    x = 794,576.10/771.85
  6. Step 6: Final answer
    x = 1,029.45

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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.