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Finding the Fourth Proportional to 58.92, 80.82 and 57.72

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Solution

The fourth proportional to 58.92, 80.82 and 57.72 is: 79.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.92 : 80.82 = 57.72 : x
  2. Step 2: Convert to fraction form
    58.92/80.82 = 57.72/x
  3. Step 3: Cross multiply
    58.92x = 80.82 × 57.72
  4. Step 4: Simplify right side
    58.92x = 4,664.93
  5. Step 5: Solve for x
    x = 4,664.93/58.92
  6. Step 6: Final answer
    x = 79.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.