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Finding the Fourth Proportional to 575.64, 863.59 and 164.78

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Solution

The fourth proportional to 575.64, 863.59 and 164.78 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.64 : 863.59 = 164.78 : x
  2. Step 2: Convert to fraction form
    575.64/863.59 = 164.78/x
  3. Step 3: Cross multiply
    575.64x = 863.59 × 164.78
  4. Step 4: Simplify right side
    575.64x = 142,302.36
  5. Step 5: Solve for x
    x = 142,302.36/575.64
  6. Step 6: Final answer
    x = 247.21

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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.