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Finding the Fourth Proportional to 535.24, 731.81 and 515.08

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Solution

The fourth proportional to 535.24, 731.81 and 515.08 is: 704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.24 : 731.81 = 515.08 : x
  2. Step 2: Convert to fraction form
    535.24/731.81 = 515.08/x
  3. Step 3: Cross multiply
    535.24x = 731.81 × 515.08
  4. Step 4: Simplify right side
    535.24x = 376,940.69
  5. Step 5: Solve for x
    x = 376,940.69/535.24
  6. Step 6: Final answer
    x = 704.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.