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Finding the Fourth Proportional to 70.93, 97.78 and 57.80

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Solution

The fourth proportional to 70.93, 97.78 and 57.80 is: 79.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.93 : 97.78 = 57.80 : x
  2. Step 2: Convert to fraction form
    70.93/97.78 = 57.80/x
  3. Step 3: Cross multiply
    70.93x = 97.78 × 57.80
  4. Step 4: Simplify right side
    70.93x = 5,651.68
  5. Step 5: Solve for x
    x = 5,651.68/70.93
  6. Step 6: Final answer
    x = 79.68

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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.