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Finding the Fourth Proportional to 851.42, 1,277.39 and 440.85

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Solution

The fourth proportional to 851.42, 1,277.39 and 440.85 is: 661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.42 : 1,277.39 = 440.85 : x
  2. Step 2: Convert to fraction form
    851.42/1,277.39 = 440.85/x
  3. Step 3: Cross multiply
    851.42x = 1,277.39 × 440.85
  4. Step 4: Simplify right side
    851.42x = 563,143.27
  5. Step 5: Solve for x
    x = 563,143.27/851.42
  6. Step 6: Final answer
    x = 661.41

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1.5x scale

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.