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Finding the Fourth Proportional to 57.99, 87.00 and 47.79

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Solution

The fourth proportional to 57.99, 87.00 and 47.79 is: 71.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.99 : 87.00 = 47.79 : x
  2. Step 2: Convert to fraction form
    57.99/87.00 = 47.79/x
  3. Step 3: Cross multiply
    57.99x = 87.00 × 47.79
  4. Step 4: Simplify right side
    57.99x = 4,157.88
  5. Step 5: Solve for x
    x = 4,157.88/57.99
  6. Step 6: Final answer
    x = 71.70

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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.