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Finding the Fourth Proportional to 951.77, 1,427.67 and 689.33

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Solution

The fourth proportional to 951.77, 1,427.67 and 689.33 is: 1,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.77 : 1,427.67 = 689.33 : x
  2. Step 2: Convert to fraction form
    951.77/1,427.67 = 689.33/x
  3. Step 3: Cross multiply
    951.77x = 1,427.67 × 689.33
  4. Step 4: Simplify right side
    951.77x = 984,135.76
  5. Step 5: Solve for x
    x = 984,135.76/951.77
  6. Step 6: Final answer
    x = 1,034.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.