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Finding the Fourth Proportional to 58.89, 87.83 and 52.82

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Solution

The fourth proportional to 58.89, 87.83 and 52.82 is: 78.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.89 : 87.83 = 52.82 : x
  2. Step 2: Convert to fraction form
    58.89/87.83 = 52.82/x
  3. Step 3: Cross multiply
    58.89x = 87.83 × 52.82
  4. Step 4: Simplify right side
    58.89x = 4,639.18
  5. Step 5: Solve for x
    x = 4,639.18/58.89
  6. Step 6: Final answer
    x = 78.78

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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.