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Finding the Fourth Proportional to 1,031.50, 1,546.84 and 381.79

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Solution

The fourth proportional to 1,031.50, 1,546.84 and 381.79 is: 572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.50 : 1,546.84 = 381.79 : x
  2. Step 2: Convert to fraction form
    1,031.50/1,546.84 = 381.79/x
  3. Step 3: Cross multiply
    1,031.50x = 1,546.84 × 381.79
  4. Step 4: Simplify right side
    1,031.50x = 590,568.04
  5. Step 5: Solve for x
    x = 590,568.04/1,031.50
  6. Step 6: Final answer
    x = 572.53

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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.