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Finding the Fourth Proportional to 64.76, 88.17 and 64.56

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Solution

The fourth proportional to 64.76, 88.17 and 64.56 is: 87.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.76 : 88.17 = 64.56 : x
  2. Step 2: Convert to fraction form
    64.76/88.17 = 64.56/x
  3. Step 3: Cross multiply
    64.76x = 88.17 × 64.56
  4. Step 4: Simplify right side
    64.76x = 5,692.26
  5. Step 5: Solve for x
    x = 5,692.26/64.76
  6. Step 6: Final answer
    x = 87.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.