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Finding the Fourth Proportional to 59.62, 81.70 and 59.53

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Solution

The fourth proportional to 59.62, 81.70 and 59.53 is: 81.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.62 : 81.70 = 59.53 : x
  2. Step 2: Convert to fraction form
    59.62/81.70 = 59.53/x
  3. Step 3: Cross multiply
    59.62x = 81.70 × 59.53
  4. Step 4: Simplify right side
    59.62x = 4,863.60
  5. Step 5: Solve for x
    x = 4,863.60/59.62
  6. Step 6: Final answer
    x = 81.58

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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.