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Finding the Fourth Proportional to 65.70, 98.01 and 58.86

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Solution

The fourth proportional to 65.70, 98.01 and 58.86 is: 87.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.70 : 98.01 = 58.86 : x
  2. Step 2: Convert to fraction form
    65.70/98.01 = 58.86/x
  3. Step 3: Cross multiply
    65.70x = 98.01 × 58.86
  4. Step 4: Simplify right side
    65.70x = 5,768.87
  5. Step 5: Solve for x
    x = 5,768.87/65.70
  6. Step 6: Final answer
    x = 87.81

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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.