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Finding the Fourth Proportional to 535.29, 795.93 and 513.42

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Solution

The fourth proportional to 535.29, 795.93 and 513.42 is: 763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.29 : 795.93 = 513.42 : x
  2. Step 2: Convert to fraction form
    535.29/795.93 = 513.42/x
  3. Step 3: Cross multiply
    535.29x = 795.93 × 513.42
  4. Step 4: Simplify right side
    535.29x = 408,646.38
  5. Step 5: Solve for x
    x = 408,646.38/535.29
  6. Step 6: Final answer
    x = 763.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.