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Finding the Fourth Proportional to 64.48, 89.39 and 61.54

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Solution

The fourth proportional to 64.48, 89.39 and 61.54 is: 85.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.48 : 89.39 = 61.54 : x
  2. Step 2: Convert to fraction form
    64.48/89.39 = 61.54/x
  3. Step 3: Cross multiply
    64.48x = 89.39 × 61.54
  4. Step 4: Simplify right side
    64.48x = 5,501.06
  5. Step 5: Solve for x
    x = 5,501.06/64.48
  6. Step 6: Final answer
    x = 85.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.