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Finding the Fourth Proportional to 557.38, 769.23 and 358.39

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Solution

The fourth proportional to 557.38, 769.23 and 358.39 is: 494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.38 : 769.23 = 358.39 : x
  2. Step 2: Convert to fraction form
    557.38/769.23 = 358.39/x
  3. Step 3: Cross multiply
    557.38x = 769.23 × 358.39
  4. Step 4: Simplify right side
    557.38x = 275,685.30
  5. Step 5: Solve for x
    x = 275,685.30/557.38
  6. Step 6: Final answer
    x = 494.61

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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.