Home / 1,590.56-2,387.30-811.12

Finding the Fourth Proportional to 1,590.56, 2,387.30 and 811.12

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Solution

The fourth proportional to 1,590.56, 2,387.30 and 811.12 is: 1,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.56 : 2,387.30 = 811.12 : x
  2. Step 2: Convert to fraction form
    1,590.56/2,387.30 = 811.12/x
  3. Step 3: Cross multiply
    1,590.56x = 2,387.30 × 811.12
  4. Step 4: Simplify right side
    1,590.56x = 1,936,386.78
  5. Step 5: Solve for x
    x = 1,936,386.78/1,590.56
  6. Step 6: Final answer
    x = 1,217.42

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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.