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Finding the Fourth Proportional to 56.87, 85.37 and 46.61

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Solution

The fourth proportional to 56.87, 85.37 and 46.61 is: 69.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.87 : 85.37 = 46.61 : x
  2. Step 2: Convert to fraction form
    56.87/85.37 = 46.61/x
  3. Step 3: Cross multiply
    56.87x = 85.37 × 46.61
  4. Step 4: Simplify right side
    56.87x = 3,979.10
  5. Step 5: Solve for x
    x = 3,979.10/56.87
  6. Step 6: Final answer
    x = 69.97

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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.