Home / 1,025.68-1,412.49-972.22

Finding the Fourth Proportional to 1,025.68, 1,412.49 and 972.22

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Solution

The fourth proportional to 1,025.68, 1,412.49 and 972.22 is: 1,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.68 : 1,412.49 = 972.22 : x
  2. Step 2: Convert to fraction form
    1,025.68/1,412.49 = 972.22/x
  3. Step 3: Cross multiply
    1,025.68x = 1,412.49 × 972.22
  4. Step 4: Simplify right side
    1,025.68x = 1,373,251.03
  5. Step 5: Solve for x
    x = 1,373,251.03/1,025.68
  6. Step 6: Final answer
    x = 1,338.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.