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Finding the Fourth Proportional to 558.14, 769.34 and 465.20

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Solution

The fourth proportional to 558.14, 769.34 and 465.20 is: 641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.14 : 769.34 = 465.20 : x
  2. Step 2: Convert to fraction form
    558.14/769.34 = 465.20/x
  3. Step 3: Cross multiply
    558.14x = 769.34 × 465.20
  4. Step 4: Simplify right side
    558.14x = 357,896.97
  5. Step 5: Solve for x
    x = 357,896.97/558.14
  6. Step 6: Final answer
    x = 641.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.