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Finding the Fourth Proportional to 1,587.56, 2,381.54 and 663.75

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Solution

The fourth proportional to 1,587.56, 2,381.54 and 663.75 is: 995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.56 : 2,381.54 = 663.75 : x
  2. Step 2: Convert to fraction form
    1,587.56/2,381.54 = 663.75/x
  3. Step 3: Cross multiply
    1,587.56x = 2,381.54 × 663.75
  4. Step 4: Simplify right side
    1,587.56x = 1,580,743.86
  5. Step 5: Solve for x
    x = 1,580,743.86/1,587.56
  6. Step 6: Final answer
    x = 995.71

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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.