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Finding the Fourth Proportional to 1,723.93, 2,587.39 and 902.78

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Solution

The fourth proportional to 1,723.93, 2,587.39 and 902.78 is: 1,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.93 : 2,587.39 = 902.78 : x
  2. Step 2: Convert to fraction form
    1,723.93/2,587.39 = 902.78/x
  3. Step 3: Cross multiply
    1,723.93x = 2,587.39 × 902.78
  4. Step 4: Simplify right side
    1,723.93x = 2,335,843.94
  5. Step 5: Solve for x
    x = 2,335,843.94/1,723.93
  6. Step 6: Final answer
    x = 1,354.95

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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.