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Finding the Fourth Proportional to 65.79, 98.64 and 31.57

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Solution

The fourth proportional to 65.79, 98.64 and 31.57 is: 47.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.79 : 98.64 = 31.57 : x
  2. Step 2: Convert to fraction form
    65.79/98.64 = 31.57/x
  3. Step 3: Cross multiply
    65.79x = 98.64 × 31.57
  4. Step 4: Simplify right side
    65.79x = 3,114.06
  5. Step 5: Solve for x
    x = 3,114.06/65.79
  6. Step 6: Final answer
    x = 47.33

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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.