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Finding the Fourth Proportional to 62.70, 94.47 and 57.78

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Solution

The fourth proportional to 62.70, 94.47 and 57.78 is: 87.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.70 : 94.47 = 57.78 : x
  2. Step 2: Convert to fraction form
    62.70/94.47 = 57.78/x
  3. Step 3: Cross multiply
    62.70x = 94.47 × 57.78
  4. Step 4: Simplify right side
    62.70x = 5,458.48
  5. Step 5: Solve for x
    x = 5,458.48/62.70
  6. Step 6: Final answer
    x = 87.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.