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Finding the Fourth Proportional to 864.84, 1,299.69 and 842.97

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Solution

The fourth proportional to 864.84, 1,299.69 and 842.97 is: 1,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.84 : 1,299.69 = 842.97 : x
  2. Step 2: Convert to fraction form
    864.84/1,299.69 = 842.97/x
  3. Step 3: Cross multiply
    864.84x = 1,299.69 × 842.97
  4. Step 4: Simplify right side
    864.84x = 1,095,599.68
  5. Step 5: Solve for x
    x = 1,095,599.68/864.84
  6. Step 6: Final answer
    x = 1,266.82

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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.