Home / 1,587.25-2,381.78-721.59

Finding the Fourth Proportional to 1,587.25, 2,381.78 and 721.59

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Solution

The fourth proportional to 1,587.25, 2,381.78 and 721.59 is: 1,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.25 : 2,381.78 = 721.59 : x
  2. Step 2: Convert to fraction form
    1,587.25/2,381.78 = 721.59/x
  3. Step 3: Cross multiply
    1,587.25x = 2,381.78 × 721.59
  4. Step 4: Simplify right side
    1,587.25x = 1,718,668.63
  5. Step 5: Solve for x
    x = 1,718,668.63/1,587.25
  6. Step 6: Final answer
    x = 1,082.80

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1.5x scale

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.