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Finding the Fourth Proportional to 56.85, 84.89 and 49.26

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Solution

The fourth proportional to 56.85, 84.89 and 49.26 is: 73.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.85 : 84.89 = 49.26 : x
  2. Step 2: Convert to fraction form
    56.85/84.89 = 49.26/x
  3. Step 3: Cross multiply
    56.85x = 84.89 × 49.26
  4. Step 4: Simplify right side
    56.85x = 4,181.80
  5. Step 5: Solve for x
    x = 4,181.80/56.85
  6. Step 6: Final answer
    x = 73.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.