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Finding the Fourth Proportional to 854.46, 1,281.69 and 306.51

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Solution

The fourth proportional to 854.46, 1,281.69 and 306.51 is: 459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.46 : 1,281.69 = 306.51 : x
  2. Step 2: Convert to fraction form
    854.46/1,281.69 = 306.51/x
  3. Step 3: Cross multiply
    854.46x = 1,281.69 × 306.51
  4. Step 4: Simplify right side
    854.46x = 392,850.80
  5. Step 5: Solve for x
    x = 392,850.80/854.46
  6. Step 6: Final answer
    x = 459.77

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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.