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Finding the Fourth Proportional to 57.70, 85.97 and 51.32

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Solution

The fourth proportional to 57.70, 85.97 and 51.32 is: 76.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.70 : 85.97 = 51.32 : x
  2. Step 2: Convert to fraction form
    57.70/85.97 = 51.32/x
  3. Step 3: Cross multiply
    57.70x = 85.97 × 51.32
  4. Step 4: Simplify right side
    57.70x = 4,411.68
  5. Step 5: Solve for x
    x = 4,411.68/57.70
  6. Step 6: Final answer
    x = 76.46

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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.