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Finding the Fourth Proportional to 527.92, 790.97 and 419.48

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Solution

The fourth proportional to 527.92, 790.97 and 419.48 is: 628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.92 : 790.97 = 419.48 : x
  2. Step 2: Convert to fraction form
    527.92/790.97 = 419.48/x
  3. Step 3: Cross multiply
    527.92x = 790.97 × 419.48
  4. Step 4: Simplify right side
    527.92x = 331,799.82
  5. Step 5: Solve for x
    x = 331,799.82/527.92
  6. Step 6: Final answer
    x = 628.50

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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.