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Finding the Fourth Proportional to 1,031, 1,546.80 and 381.74

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Solution

The fourth proportional to 1,031, 1,546.80 and 381.74 is: 572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031 : 1,546.80 = 381.74 : x
  2. Step 2: Convert to fraction form
    1,031/1,546.80 = 381.74/x
  3. Step 3: Cross multiply
    1,031x = 1,546.80 × 381.74
  4. Step 4: Simplify right side
    1,031x = 590,475.43
  5. Step 5: Solve for x
    x = 590,475.43/1,031
  6. Step 6: Final answer
    x = 572.72

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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.