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Finding the Fourth Proportional to 827.68, 1,146.76 and 771.52

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Solution

The fourth proportional to 827.68, 1,146.76 and 771.52 is: 1,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.68 : 1,146.76 = 771.52 : x
  2. Step 2: Convert to fraction form
    827.68/1,146.76 = 771.52/x
  3. Step 3: Cross multiply
    827.68x = 1,146.76 × 771.52
  4. Step 4: Simplify right side
    827.68x = 884,748.28
  5. Step 5: Solve for x
    x = 884,748.28/827.68
  6. Step 6: Final answer
    x = 1,068.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.