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Finding the Fourth Proportional to 535.10, 806.74 and 528.18

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Solution

The fourth proportional to 535.10, 806.74 and 528.18 is: 796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.10 : 806.74 = 528.18 : x
  2. Step 2: Convert to fraction form
    535.10/806.74 = 528.18/x
  3. Step 3: Cross multiply
    535.10x = 806.74 × 528.18
  4. Step 4: Simplify right side
    535.10x = 426,103.93
  5. Step 5: Solve for x
    x = 426,103.93/535.10
  6. Step 6: Final answer
    x = 796.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.