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Finding the Fourth Proportional to 535.14, 743.57 and 529.42

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Solution

The fourth proportional to 535.14, 743.57 and 529.42 is: 735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.14 : 743.57 = 529.42 : x
  2. Step 2: Convert to fraction form
    535.14/743.57 = 529.42/x
  3. Step 3: Cross multiply
    535.14x = 743.57 × 529.42
  4. Step 4: Simplify right side
    535.14x = 393,660.83
  5. Step 5: Solve for x
    x = 393,660.83/535.14
  6. Step 6: Final answer
    x = 735.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.