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Finding the Fourth Proportional to 1,697.39, 2,544.48 and 873.87

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Solution

The fourth proportional to 1,697.39, 2,544.48 and 873.87 is: 1,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.39 : 2,544.48 = 873.87 : x
  2. Step 2: Convert to fraction form
    1,697.39/2,544.48 = 873.87/x
  3. Step 3: Cross multiply
    1,697.39x = 2,544.48 × 873.87
  4. Step 4: Simplify right side
    1,697.39x = 2,223,535.20
  5. Step 5: Solve for x
    x = 2,223,535.20/1,697.39
  6. Step 6: Final answer
    x = 1,309.97

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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.