Home / 1,221.23-1,832.61-527.78

Finding the Fourth Proportional to 1,221.23, 1,832.61 and 527.78

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Solution

The fourth proportional to 1,221.23, 1,832.61 and 527.78 is: 792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.23 : 1,832.61 = 527.78 : x
  2. Step 2: Convert to fraction form
    1,221.23/1,832.61 = 527.78/x
  3. Step 3: Cross multiply
    1,221.23x = 1,832.61 × 527.78
  4. Step 4: Simplify right side
    1,221.23x = 967,214.91
  5. Step 5: Solve for x
    x = 967,214.91/1,221.23
  6. Step 6: Final answer
    x = 792.00

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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.