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Finding the Fourth Proportional to 527.39, 790.45 and 396.97

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Solution

The fourth proportional to 527.39, 790.45 and 396.97 is: 594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.39 : 790.45 = 396.97 : x
  2. Step 2: Convert to fraction form
    527.39/790.45 = 396.97/x
  3. Step 3: Cross multiply
    527.39x = 790.45 × 396.97
  4. Step 4: Simplify right side
    527.39x = 313,784.74
  5. Step 5: Solve for x
    x = 313,784.74/527.39
  6. Step 6: Final answer
    x = 594.97

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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.