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Finding the Fourth Proportional to 70.46, 105.28 and 56.79

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Solution

The fourth proportional to 70.46, 105.28 and 56.79 is: 84.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.46 : 105.28 = 56.79 : x
  2. Step 2: Convert to fraction form
    70.46/105.28 = 56.79/x
  3. Step 3: Cross multiply
    70.46x = 105.28 × 56.79
  4. Step 4: Simplify right side
    70.46x = 5,978.85
  5. Step 5: Solve for x
    x = 5,978.85/70.46
  6. Step 6: Final answer
    x = 84.85

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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.