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Finding the Fourth Proportional to 47.45, 70.64 and 46.51

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Solution

The fourth proportional to 47.45, 70.64 and 46.51 is: 69.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.45 : 70.64 = 46.51 : x
  2. Step 2: Convert to fraction form
    47.45/70.64 = 46.51/x
  3. Step 3: Cross multiply
    47.45x = 70.64 × 46.51
  4. Step 4: Simplify right side
    47.45x = 3,285.23
  5. Step 5: Solve for x
    x = 3,285.23/47.45
  6. Step 6: Final answer
    x = 69.23

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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.