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Finding the Fourth Proportional to 535.97, 739.70 and 314.96

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Solution

The fourth proportional to 535.97, 739.70 and 314.96 is: 434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.97 : 739.70 = 314.96 : x
  2. Step 2: Convert to fraction form
    535.97/739.70 = 314.96/x
  3. Step 3: Cross multiply
    535.97x = 739.70 × 314.96
  4. Step 4: Simplify right side
    535.97x = 232,972.21
  5. Step 5: Solve for x
    x = 232,972.21/535.97
  6. Step 6: Final answer
    x = 434.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.