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Finding the Fourth Proportional to 828.34, 1,240.86 and 760.30

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Solution

The fourth proportional to 828.34, 1,240.86 and 760.30 is: 1,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.34 : 1,240.86 = 760.30 : x
  2. Step 2: Convert to fraction form
    828.34/1,240.86 = 760.30/x
  3. Step 3: Cross multiply
    828.34x = 1,240.86 × 760.30
  4. Step 4: Simplify right side
    828.34x = 943,425.86
  5. Step 5: Solve for x
    x = 943,425.86/828.34
  6. Step 6: Final answer
    x = 1,138.94

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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.