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Finding the Fourth Proportional to 537.80, 743.46 and 428.36

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Solution

The fourth proportional to 537.80, 743.46 and 428.36 is: 592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 743.46 = 428.36 : x
  2. Step 2: Convert to fraction form
    537.80/743.46 = 428.36/x
  3. Step 3: Cross multiply
    537.80x = 743.46 × 428.36
  4. Step 4: Simplify right side
    537.80x = 318,468.53
  5. Step 5: Solve for x
    x = 318,468.53/537.80
  6. Step 6: Final answer
    x = 592.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.