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Finding the Fourth Proportional to 62, 84.94 and 61.46

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Solution

The fourth proportional to 62, 84.94 and 61.46 is: 84.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    62 : 84.94 = 61.46 : x
  2. Step 2: Convert to fraction form
    62/84.94 = 61.46/x
  3. Step 3: Cross multiply
    62x = 84.94 × 61.46
  4. Step 4: Simplify right side
    62x = 5,220.41
  5. Step 5: Solve for x
    x = 5,220.41/62
  6. Step 6: Final answer
    x = 84.20

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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.