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Finding the Fourth Proportional to 47.59, 65.94 and 46.78

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Solution

The fourth proportional to 47.59, 65.94 and 46.78 is: 64.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.59 : 65.94 = 46.78 : x
  2. Step 2: Convert to fraction form
    47.59/65.94 = 46.78/x
  3. Step 3: Cross multiply
    47.59x = 65.94 × 46.78
  4. Step 4: Simplify right side
    47.59x = 3,084.67
  5. Step 5: Solve for x
    x = 3,084.67/47.59
  6. Step 6: Final answer
    x = 64.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.