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Finding the Fourth Proportional to 58.78, 87.12 and 57.88

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Solution

The fourth proportional to 58.78, 87.12 and 57.88 is: 85.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.78 : 87.12 = 57.88 : x
  2. Step 2: Convert to fraction form
    58.78/87.12 = 57.88/x
  3. Step 3: Cross multiply
    58.78x = 87.12 × 57.88
  4. Step 4: Simplify right side
    58.78x = 5,042.51
  5. Step 5: Solve for x
    x = 5,042.51/58.78
  6. Step 6: Final answer
    x = 85.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.