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Finding the Fourth Proportional to 527.47, 791.11 and 142.63

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Solution

The fourth proportional to 527.47, 791.11 and 142.63 is: 213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.47 : 791.11 = 142.63 : x
  2. Step 2: Convert to fraction form
    527.47/791.11 = 142.63/x
  3. Step 3: Cross multiply
    527.47x = 791.11 × 142.63
  4. Step 4: Simplify right side
    527.47x = 112,831.35
  5. Step 5: Solve for x
    x = 112,831.35/527.47
  6. Step 6: Final answer
    x = 213.91

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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.