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Finding the Fourth Proportional to 575.47, 863.20 and 142.63

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Solution

The fourth proportional to 575.47, 863.20 and 142.63 is: 213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.47 : 863.20 = 142.63 : x
  2. Step 2: Convert to fraction form
    575.47/863.20 = 142.63/x
  3. Step 3: Cross multiply
    575.47x = 863.20 × 142.63
  4. Step 4: Simplify right side
    575.47x = 123,114.26
  5. Step 5: Solve for x
    x = 123,114.26/575.47
  6. Step 6: Final answer
    x = 213.94

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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.