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Finding the Fourth Proportional to 853.36, 1,277.38 and 657.85

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Solution

The fourth proportional to 853.36, 1,277.38 and 657.85 is: 984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.36 : 1,277.38 = 657.85 : x
  2. Step 2: Convert to fraction form
    853.36/1,277.38 = 657.85/x
  3. Step 3: Cross multiply
    853.36x = 1,277.38 × 657.85
  4. Step 4: Simplify right side
    853.36x = 840,324.43
  5. Step 5: Solve for x
    x = 840,324.43/853.36
  6. Step 6: Final answer
    x = 984.72

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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.