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Finding the Fourth Proportional to 64.72, 96.71 and 61.30

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Solution

The fourth proportional to 64.72, 96.71 and 61.30 is: 91.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.72 : 96.71 = 61.30 : x
  2. Step 2: Convert to fraction form
    64.72/96.71 = 61.30/x
  3. Step 3: Cross multiply
    64.72x = 96.71 × 61.30
  4. Step 4: Simplify right side
    64.72x = 5,928.32
  5. Step 5: Solve for x
    x = 5,928.32/64.72
  6. Step 6: Final answer
    x = 91.60

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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.