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Finding the Fourth Proportional to 514.77, 772.19 and 163.45

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Solution

The fourth proportional to 514.77, 772.19 and 163.45 is: 245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.77 : 772.19 = 163.45 : x
  2. Step 2: Convert to fraction form
    514.77/772.19 = 163.45/x
  3. Step 3: Cross multiply
    514.77x = 772.19 × 163.45
  4. Step 4: Simplify right side
    514.77x = 126,214.46
  5. Step 5: Solve for x
    x = 126,214.46/514.77
  6. Step 6: Final answer
    x = 245.19

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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.