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Finding the Fourth Proportional to 1,808.28, 2,712.54 and 575.79

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Solution

The fourth proportional to 1,808.28, 2,712.54 and 575.79 is: 863.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.28 : 2,712.54 = 575.79 : x
  2. Step 2: Convert to fraction form
    1,808.28/2,712.54 = 575.79/x
  3. Step 3: Cross multiply
    1,808.28x = 2,712.54 × 575.79
  4. Step 4: Simplify right side
    1,808.28x = 1,561,853.41
  5. Step 5: Solve for x
    x = 1,561,853.41/1,808.28
  6. Step 6: Final answer
    x = 863.72

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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.