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Finding the Fourth Proportional to 1,790.59, 2,685.89 and 557.97

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Solution

The fourth proportional to 1,790.59, 2,685.89 and 557.97 is: 836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.59 : 2,685.89 = 557.97 : x
  2. Step 2: Convert to fraction form
    1,790.59/2,685.89 = 557.97/x
  3. Step 3: Cross multiply
    1,790.59x = 2,685.89 × 557.97
  4. Step 4: Simplify right side
    1,790.59x = 1,498,646.04
  5. Step 5: Solve for x
    x = 1,498,646.04/1,790.59
  6. Step 6: Final answer
    x = 836.96

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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.