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Finding the Fourth Proportional to 64.56, 97.47 and 63.72

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Solution

The fourth proportional to 64.56, 97.47 and 63.72 is: 96.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.56 : 97.47 = 63.72 : x
  2. Step 2: Convert to fraction form
    64.56/97.47 = 63.72/x
  3. Step 3: Cross multiply
    64.56x = 97.47 × 63.72
  4. Step 4: Simplify right side
    64.56x = 6,210.79
  5. Step 5: Solve for x
    x = 6,210.79/64.56
  6. Step 6: Final answer
    x = 96.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.