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Finding the Fourth Proportional to 853.36, 1,176.26 and 637.42

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Solution

The fourth proportional to 853.36, 1,176.26 and 637.42 is: 878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.36 : 1,176.26 = 637.42 : x
  2. Step 2: Convert to fraction form
    853.36/1,176.26 = 637.42/x
  3. Step 3: Cross multiply
    853.36x = 1,176.26 × 637.42
  4. Step 4: Simplify right side
    853.36x = 749,771.65
  5. Step 5: Solve for x
    x = 749,771.65/853.36
  6. Step 6: Final answer
    x = 878.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.