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Finding the Fourth Proportional to 64.72, 96.81 and 64.45

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Solution

The fourth proportional to 64.72, 96.81 and 64.45 is: 96.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.72 : 96.81 = 64.45 : x
  2. Step 2: Convert to fraction form
    64.72/96.81 = 64.45/x
  3. Step 3: Cross multiply
    64.72x = 96.81 × 64.45
  4. Step 4: Simplify right side
    64.72x = 6,239.40
  5. Step 5: Solve for x
    x = 6,239.40/64.72
  6. Step 6: Final answer
    x = 96.41

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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.