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Finding the Fourth Proportional to 65.85, 98.82 and 45.60

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Solution

The fourth proportional to 65.85, 98.82 and 45.60 is: 68.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.85 : 98.82 = 45.60 : x
  2. Step 2: Convert to fraction form
    65.85/98.82 = 45.60/x
  3. Step 3: Cross multiply
    65.85x = 98.82 × 45.60
  4. Step 4: Simplify right side
    65.85x = 4,506.19
  5. Step 5: Solve for x
    x = 4,506.19/65.85
  6. Step 6: Final answer
    x = 68.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.