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Finding the Fourth Proportional to 575.44, 863.02 and 190.64

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Solution

The fourth proportional to 575.44, 863.02 and 190.64 is: 285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.44 : 863.02 = 190.64 : x
  2. Step 2: Convert to fraction form
    575.44/863.02 = 190.64/x
  3. Step 3: Cross multiply
    575.44x = 863.02 × 190.64
  4. Step 4: Simplify right side
    575.44x = 164,526.13
  5. Step 5: Solve for x
    x = 164,526.13/575.44
  6. Step 6: Final answer
    x = 285.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.