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Finding the Fourth Proportional to 65.84, 91.28 and 62.75

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Solution

The fourth proportional to 65.84, 91.28 and 62.75 is: 87.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.84 : 91.28 = 62.75 : x
  2. Step 2: Convert to fraction form
    65.84/91.28 = 62.75/x
  3. Step 3: Cross multiply
    65.84x = 91.28 × 62.75
  4. Step 4: Simplify right side
    65.84x = 5,727.73
  5. Step 5: Solve for x
    x = 5,727.73/65.84
  6. Step 6: Final answer
    x = 87.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.