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Finding the Fourth Proportional to 527.81, 791.71 and 162.59

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Solution

The fourth proportional to 527.81, 791.71 and 162.59 is: 243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.81 : 791.71 = 162.59 : x
  2. Step 2: Convert to fraction form
    527.81/791.71 = 162.59/x
  3. Step 3: Cross multiply
    527.81x = 791.71 × 162.59
  4. Step 4: Simplify right side
    527.81x = 128,724.13
  5. Step 5: Solve for x
    x = 128,724.13/527.81
  6. Step 6: Final answer
    x = 243.88

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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.