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Finding the Fourth Proportional to 64.72, 96.60 and 56.64

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Solution

The fourth proportional to 64.72, 96.60 and 56.64 is: 84.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.72 : 96.60 = 56.64 : x
  2. Step 2: Convert to fraction form
    64.72/96.60 = 56.64/x
  3. Step 3: Cross multiply
    64.72x = 96.60 × 56.64
  4. Step 4: Simplify right side
    64.72x = 5,471.42
  5. Step 5: Solve for x
    x = 5,471.42/64.72
  6. Step 6: Final answer
    x = 84.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.