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Finding the Fourth Proportional to 1,727.82, 2,590.19 and 631.41

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Solution

The fourth proportional to 1,727.82, 2,590.19 and 631.41 is: 946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.82 : 2,590.19 = 631.41 : x
  2. Step 2: Convert to fraction form
    1,727.82/2,590.19 = 631.41/x
  3. Step 3: Cross multiply
    1,727.82x = 2,590.19 × 631.41
  4. Step 4: Simplify right side
    1,727.82x = 1,635,471.87
  5. Step 5: Solve for x
    x = 1,635,471.87/1,727.82
  6. Step 6: Final answer
    x = 946.55

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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.