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Finding the Fourth Proportional to 46.78, 64.09 and 45.05

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Solution

The fourth proportional to 46.78, 64.09 and 45.05 is: 61.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.78 : 64.09 = 45.05 : x
  2. Step 2: Convert to fraction form
    46.78/64.09 = 45.05/x
  3. Step 3: Cross multiply
    46.78x = 64.09 × 45.05
  4. Step 4: Simplify right side
    46.78x = 2,886.71
  5. Step 5: Solve for x
    x = 2,886.71/46.78
  6. Step 6: Final answer
    x = 61.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.