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Finding the Fourth Proportional to 558.01, 769.63 and 381.12

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Solution

The fourth proportional to 558.01, 769.63 and 381.12 is: 525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.01 : 769.63 = 381.12 : x
  2. Step 2: Convert to fraction form
    558.01/769.63 = 381.12/x
  3. Step 3: Cross multiply
    558.01x = 769.63 × 381.12
  4. Step 4: Simplify right side
    558.01x = 293,318.27
  5. Step 5: Solve for x
    x = 293,318.27/558.01
  6. Step 6: Final answer
    x = 525.65

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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.