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Finding the Fourth Proportional to 771.38, 1,161.20 and 692

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Solution

The fourth proportional to 771.38, 1,161.20 and 692 is: 1,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.38 : 1,161.20 = 692 : x
  2. Step 2: Convert to fraction form
    771.38/1,161.20 = 692/x
  3. Step 3: Cross multiply
    771.38x = 1,161.20 × 692
  4. Step 4: Simplify right side
    771.38x = 803,550.40
  5. Step 5: Solve for x
    x = 803,550.40/771.38
  6. Step 6: Final answer
    x = 1,041.70

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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.