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Finding the Fourth Proportional to 851.42, 1,277.08 and 274.25

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Solution

The fourth proportional to 851.42, 1,277.08 and 274.25 is: 411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.42 : 1,277.08 = 274.25 : x
  2. Step 2: Convert to fraction form
    851.42/1,277.08 = 274.25/x
  3. Step 3: Cross multiply
    851.42x = 1,277.08 × 274.25
  4. Step 4: Simplify right side
    851.42x = 350,239.19
  5. Step 5: Solve for x
    x = 350,239.19/851.42
  6. Step 6: Final answer
    x = 411.36

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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.