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Finding the Fourth Proportional to 535.86, 739.38 and 314.88

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Solution

The fourth proportional to 535.86, 739.38 and 314.88 is: 434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.86 : 739.38 = 314.88 : x
  2. Step 2: Convert to fraction form
    535.86/739.38 = 314.88/x
  3. Step 3: Cross multiply
    535.86x = 739.38 × 314.88
  4. Step 4: Simplify right side
    535.86x = 232,815.97
  5. Step 5: Solve for x
    x = 232,815.97/535.86
  6. Step 6: Final answer
    x = 434.47

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1.5x scale

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.