Home / 1,819.23-2,729.28-586.65

Finding the Fourth Proportional to 1,819.23, 2,729.28 and 586.65

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Solution

The fourth proportional to 1,819.23, 2,729.28 and 586.65 is: 880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.23 : 2,729.28 = 586.65 : x
  2. Step 2: Convert to fraction form
    1,819.23/2,729.28 = 586.65/x
  3. Step 3: Cross multiply
    1,819.23x = 2,729.28 × 586.65
  4. Step 4: Simplify right side
    1,819.23x = 1,601,132.11
  5. Step 5: Solve for x
    x = 1,601,132.11/1,819.23
  6. Step 6: Final answer
    x = 880.12

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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.