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Finding the Fourth Proportional to 47.59, 70.94 and 43.64

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Solution

The fourth proportional to 47.59, 70.94 and 43.64 is: 65.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.59 : 70.94 = 43.64 : x
  2. Step 2: Convert to fraction form
    47.59/70.94 = 43.64/x
  3. Step 3: Cross multiply
    47.59x = 70.94 × 43.64
  4. Step 4: Simplify right side
    47.59x = 3,095.84
  5. Step 5: Solve for x
    x = 3,095.84/47.59
  6. Step 6: Final answer
    x = 65.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.