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Finding the Fourth Proportional to 535.17, 800.63 and 405.55

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Solution

The fourth proportional to 535.17, 800.63 and 405.55 is: 606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.17 : 800.63 = 405.55 : x
  2. Step 2: Convert to fraction form
    535.17/800.63 = 405.55/x
  3. Step 3: Cross multiply
    535.17x = 800.63 × 405.55
  4. Step 4: Simplify right side
    535.17x = 324,694.51
  5. Step 5: Solve for x
    x = 324,694.51/535.17
  6. Step 6: Final answer
    x = 606.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.