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Finding the Fourth Proportional to 558.22, 769.86 and 358.84

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Solution

The fourth proportional to 558.22, 769.86 and 358.84 is: 494.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.22 : 769.86 = 358.84 : x
  2. Step 2: Convert to fraction form
    558.22/769.86 = 358.84/x
  3. Step 3: Cross multiply
    558.22x = 769.86 × 358.84
  4. Step 4: Simplify right side
    558.22x = 276,256.56
  5. Step 5: Solve for x
    x = 276,256.56/558.22
  6. Step 6: Final answer
    x = 494.89

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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.