Home / 1,148.27-1,722.39-282.58

Finding the Fourth Proportional to 1,148.27, 1,722.39 and 282.58

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Solution

The fourth proportional to 1,148.27, 1,722.39 and 282.58 is: 423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.27 : 1,722.39 = 282.58 : x
  2. Step 2: Convert to fraction form
    1,148.27/1,722.39 = 282.58/x
  3. Step 3: Cross multiply
    1,148.27x = 1,722.39 × 282.58
  4. Step 4: Simplify right side
    1,148.27x = 486,718.33
  5. Step 5: Solve for x
    x = 486,718.33/1,148.27
  6. Step 6: Final answer
    x = 423.87

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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.