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Finding the Fourth Proportional to 853.42, 1,280.27 and 305.74

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Solution

The fourth proportional to 853.42, 1,280.27 and 305.74 is: 458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.42 : 1,280.27 = 305.74 : x
  2. Step 2: Convert to fraction form
    853.42/1,280.27 = 305.74/x
  3. Step 3: Cross multiply
    853.42x = 1,280.27 × 305.74
  4. Step 4: Simplify right side
    853.42x = 391,425.42
  5. Step 5: Solve for x
    x = 391,425.42/853.42
  6. Step 6: Final answer
    x = 458.65

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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.