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Finding the Fourth Proportional to 558.38, 769.87 and 453.08

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Solution

The fourth proportional to 558.38, 769.87 and 453.08 is: 624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.38 : 769.87 = 453.08 : x
  2. Step 2: Convert to fraction form
    558.38/769.87 = 453.08/x
  3. Step 3: Cross multiply
    558.38x = 769.87 × 453.08
  4. Step 4: Simplify right side
    558.38x = 348,812.70
  5. Step 5: Solve for x
    x = 348,812.70/558.38
  6. Step 6: Final answer
    x = 624.69

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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.