Home / 1,588.48-2,381.46-721.78

Finding the Fourth Proportional to 1,588.48, 2,381.46 and 721.78

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Solution

The fourth proportional to 1,588.48, 2,381.46 and 721.78 is: 1,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.48 : 2,381.46 = 721.78 : x
  2. Step 2: Convert to fraction form
    1,588.48/2,381.46 = 721.78/x
  3. Step 3: Cross multiply
    1,588.48x = 2,381.46 × 721.78
  4. Step 4: Simplify right side
    1,588.48x = 1,718,890.20
  5. Step 5: Solve for x
    x = 1,718,890.20/1,588.48
  6. Step 6: Final answer
    x = 1,082.10

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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.