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Finding the Fourth Proportional to 656.74, 985.18 and 169.79

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Solution

The fourth proportional to 656.74, 985.18 and 169.79 is: 254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.74 : 985.18 = 169.79 : x
  2. Step 2: Convert to fraction form
    656.74/985.18 = 169.79/x
  3. Step 3: Cross multiply
    656.74x = 985.18 × 169.79
  4. Step 4: Simplify right side
    656.74x = 167,274.37
  5. Step 5: Solve for x
    x = 167,274.37/656.74
  6. Step 6: Final answer
    x = 254.70

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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.