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Finding the Fourth Proportional to 535.52, 739.14 and 314.48

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Solution

The fourth proportional to 535.52, 739.14 and 314.48 is: 434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.52 : 739.14 = 314.48 : x
  2. Step 2: Convert to fraction form
    535.52/739.14 = 314.48/x
  3. Step 3: Cross multiply
    535.52x = 739.14 × 314.48
  4. Step 4: Simplify right side
    535.52x = 232,444.75
  5. Step 5: Solve for x
    x = 232,444.75/535.52
  6. Step 6: Final answer
    x = 434.05

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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.