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Finding the Fourth Proportional to 854.46, 1,281.63 and 367.83

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Solution

The fourth proportional to 854.46, 1,281.63 and 367.83 is: 551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.46 : 1,281.63 = 367.83 : x
  2. Step 2: Convert to fraction form
    854.46/1,281.63 = 367.83/x
  3. Step 3: Cross multiply
    854.46x = 1,281.63 × 367.83
  4. Step 4: Simplify right side
    854.46x = 471,421.96
  5. Step 5: Solve for x
    x = 471,421.96/854.46
  6. Step 6: Final answer
    x = 551.72

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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.