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Finding the Fourth Proportional to 535.74, 742.79 and 517.74

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Solution

The fourth proportional to 535.74, 742.79 and 517.74 is: 717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.74 : 742.79 = 517.74 : x
  2. Step 2: Convert to fraction form
    535.74/742.79 = 517.74/x
  3. Step 3: Cross multiply
    535.74x = 742.79 × 517.74
  4. Step 4: Simplify right side
    535.74x = 384,569.51
  5. Step 5: Solve for x
    x = 384,569.51/535.74
  6. Step 6: Final answer
    x = 717.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.