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Finding the Fourth Proportional to 851.62, 1,277.75 and 440.49

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Solution

The fourth proportional to 851.62, 1,277.75 and 440.49 is: 660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.62 : 1,277.75 = 440.49 : x
  2. Step 2: Convert to fraction form
    851.62/1,277.75 = 440.49/x
  3. Step 3: Cross multiply
    851.62x = 1,277.75 × 440.49
  4. Step 4: Simplify right side
    851.62x = 562,836.10
  5. Step 5: Solve for x
    x = 562,836.10/851.62
  6. Step 6: Final answer
    x = 660.90

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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.