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Finding the Fourth Proportional to 47.58, 64.79 and 46.75

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Solution

The fourth proportional to 47.58, 64.79 and 46.75 is: 63.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.58 : 64.79 = 46.75 : x
  2. Step 2: Convert to fraction form
    47.58/64.79 = 46.75/x
  3. Step 3: Cross multiply
    47.58x = 64.79 × 46.75
  4. Step 4: Simplify right side
    47.58x = 3,028.93
  5. Step 5: Solve for x
    x = 3,028.93/47.58
  6. Step 6: Final answer
    x = 63.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.