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Finding the Fourth Proportional to 862.29, 1,284.76 and 853.65

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Solution

The fourth proportional to 862.29, 1,284.76 and 853.65 is: 1,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.29 : 1,284.76 = 853.65 : x
  2. Step 2: Convert to fraction form
    862.29/1,284.76 = 853.65/x
  3. Step 3: Cross multiply
    862.29x = 1,284.76 × 853.65
  4. Step 4: Simplify right side
    862.29x = 1,096,724.68
  5. Step 5: Solve for x
    x = 1,096,724.68/862.29
  6. Step 6: Final answer
    x = 1,271.88

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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.