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Finding the Fourth Proportional to 62.71, 86.57 and 46.38

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Solution

The fourth proportional to 62.71, 86.57 and 46.38 is: 64.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.71 : 86.57 = 46.38 : x
  2. Step 2: Convert to fraction form
    62.71/86.57 = 46.38/x
  3. Step 3: Cross multiply
    62.71x = 86.57 × 46.38
  4. Step 4: Simplify right side
    62.71x = 4,015.12
  5. Step 5: Solve for x
    x = 4,015.12/62.71
  6. Step 6: Final answer
    x = 64.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.