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Finding the Fourth Proportional to 854.42, 1,280.10 and 306.25

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Solution

The fourth proportional to 854.42, 1,280.10 and 306.25 is: 458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.42 : 1,280.10 = 306.25 : x
  2. Step 2: Convert to fraction form
    854.42/1,280.10 = 306.25/x
  3. Step 3: Cross multiply
    854.42x = 1,280.10 × 306.25
  4. Step 4: Simplify right side
    854.42x = 392,028.57
  5. Step 5: Solve for x
    x = 392,028.57/854.42
  6. Step 6: Final answer
    x = 458.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.