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Finding the Fourth Proportional to 925.32, 1,387.97 and 276.06

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Solution

The fourth proportional to 925.32, 1,387.97 and 276.06 is: 414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.32 : 1,387.97 = 276.06 : x
  2. Step 2: Convert to fraction form
    925.32/1,387.97 = 276.06/x
  3. Step 3: Cross multiply
    925.32x = 1,387.97 × 276.06
  4. Step 4: Simplify right side
    925.32x = 383,163.00
  5. Step 5: Solve for x
    x = 383,163.00/925.32
  6. Step 6: Final answer
    x = 414.09

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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.