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Finding the Fourth Proportional to 534.12, 795.33 and 520.36

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Solution

The fourth proportional to 534.12, 795.33 and 520.36 is: 774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 795.33 = 520.36 : x
  2. Step 2: Convert to fraction form
    534.12/795.33 = 520.36/x
  3. Step 3: Cross multiply
    534.12x = 795.33 × 520.36
  4. Step 4: Simplify right side
    534.12x = 413,857.92
  5. Step 5: Solve for x
    x = 413,857.92/534.12
  6. Step 6: Final answer
    x = 774.84

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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.