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Finding the Fourth Proportional to 64.40, 95.83 and 61.51

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Solution

The fourth proportional to 64.40, 95.83 and 61.51 is: 91.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.40 : 95.83 = 61.51 : x
  2. Step 2: Convert to fraction form
    64.40/95.83 = 61.51/x
  3. Step 3: Cross multiply
    64.40x = 95.83 × 61.51
  4. Step 4: Simplify right side
    64.40x = 5,894.64
  5. Step 5: Solve for x
    x = 5,894.64/64.40
  6. Step 6: Final answer
    x = 91.54

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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.