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Finding the Fourth Proportional to 65.80, 98.54 and 64.58

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Solution

The fourth proportional to 65.80, 98.54 and 64.58 is: 96.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.80 : 98.54 = 64.58 : x
  2. Step 2: Convert to fraction form
    65.80/98.54 = 64.58/x
  3. Step 3: Cross multiply
    65.80x = 98.54 × 64.58
  4. Step 4: Simplify right side
    65.80x = 6,363.39
  5. Step 5: Solve for x
    x = 6,363.39/65.80
  6. Step 6: Final answer
    x = 96.72

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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.