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Finding the Fourth Proportional to 925.72, 1,381.85 and 828.52

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Solution

The fourth proportional to 925.72, 1,381.85 and 828.52 is: 1,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.72 : 1,381.85 = 828.52 : x
  2. Step 2: Convert to fraction form
    925.72/1,381.85 = 828.52/x
  3. Step 3: Cross multiply
    925.72x = 1,381.85 × 828.52
  4. Step 4: Simplify right side
    925.72x = 1,144,890.36
  5. Step 5: Solve for x
    x = 1,144,890.36/925.72
  6. Step 6: Final answer
    x = 1,236.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.