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Finding the Fourth Proportional to 1,120.38, 1,684.20 and 690.26

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Solution

The fourth proportional to 1,120.38, 1,684.20 and 690.26 is: 1,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.38 : 1,684.20 = 690.26 : x
  2. Step 2: Convert to fraction form
    1,120.38/1,684.20 = 690.26/x
  3. Step 3: Cross multiply
    1,120.38x = 1,684.20 × 690.26
  4. Step 4: Simplify right side
    1,120.38x = 1,162,535.89
  5. Step 5: Solve for x
    x = 1,162,535.89/1,120.38
  6. Step 6: Final answer
    x = 1,037.63

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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.