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Finding the Fourth Proportional to 71.33, 98.45 and 46.77

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Solution

The fourth proportional to 71.33, 98.45 and 46.77 is: 64.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.33 : 98.45 = 46.77 : x
  2. Step 2: Convert to fraction form
    71.33/98.45 = 46.77/x
  3. Step 3: Cross multiply
    71.33x = 98.45 × 46.77
  4. Step 4: Simplify right side
    71.33x = 4,604.27
  5. Step 5: Solve for x
    x = 4,604.27/71.33
  6. Step 6: Final answer
    x = 64.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.