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Finding the Fourth Proportional to 828.50, 1,143.65 and 754.69

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Solution

The fourth proportional to 828.50, 1,143.65 and 754.69 is: 1,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.50 : 1,143.65 = 754.69 : x
  2. Step 2: Convert to fraction form
    828.50/1,143.65 = 754.69/x
  3. Step 3: Cross multiply
    828.50x = 1,143.65 × 754.69
  4. Step 4: Simplify right side
    828.50x = 863,101.22
  5. Step 5: Solve for x
    x = 863,101.22/828.50
  6. Step 6: Final answer
    x = 1,041.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.