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Finding the Fourth Proportional to 65.77, 89.96 and 64.71

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Solution

The fourth proportional to 65.77, 89.96 and 64.71 is: 88.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.77 : 89.96 = 64.71 : x
  2. Step 2: Convert to fraction form
    65.77/89.96 = 64.71/x
  3. Step 3: Cross multiply
    65.77x = 89.96 × 64.71
  4. Step 4: Simplify right side
    65.77x = 5,821.68
  5. Step 5: Solve for x
    x = 5,821.68/65.77
  6. Step 6: Final answer
    x = 88.51

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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.