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Finding the Fourth Proportional to 828.84, 1,237.18 and 768.76

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Solution

The fourth proportional to 828.84, 1,237.18 and 768.76 is: 1,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.84 : 1,237.18 = 768.76 : x
  2. Step 2: Convert to fraction form
    828.84/1,237.18 = 768.76/x
  3. Step 3: Cross multiply
    828.84x = 1,237.18 × 768.76
  4. Step 4: Simplify right side
    828.84x = 951,094.50
  5. Step 5: Solve for x
    x = 951,094.50/828.84
  6. Step 6: Final answer
    x = 1,147.50

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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.