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Finding the Fourth Proportional to 1,588.76, 2,381.80 and 663.74

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Solution

The fourth proportional to 1,588.76, 2,381.80 and 663.74 is: 995.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.76 : 2,381.80 = 663.74 : x
  2. Step 2: Convert to fraction form
    1,588.76/2,381.80 = 663.74/x
  3. Step 3: Cross multiply
    1,588.76x = 2,381.80 × 663.74
  4. Step 4: Simplify right side
    1,588.76x = 1,580,895.93
  5. Step 5: Solve for x
    x = 1,580,895.93/1,588.76
  6. Step 6: Final answer
    x = 995.05

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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.