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Finding the Fourth Proportional to 64.94, 97.59 and 64.76

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Solution

The fourth proportional to 64.94, 97.59 and 64.76 is: 97.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.94 : 97.59 = 64.76 : x
  2. Step 2: Convert to fraction form
    64.94/97.59 = 64.76/x
  3. Step 3: Cross multiply
    64.94x = 97.59 × 64.76
  4. Step 4: Simplify right side
    64.94x = 6,319.93
  5. Step 5: Solve for x
    x = 6,319.93/64.94
  6. Step 6: Final answer
    x = 97.32

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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.