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Finding the Fourth Proportional to 537.80, 806.36 and 477.04

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Solution

The fourth proportional to 537.80, 806.36 and 477.04 is: 715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 806.36 = 477.04 : x
  2. Step 2: Convert to fraction form
    537.80/806.36 = 477.04/x
  3. Step 3: Cross multiply
    537.80x = 806.36 × 477.04
  4. Step 4: Simplify right side
    537.80x = 384,665.97
  5. Step 5: Solve for x
    x = 384,665.97/537.80
  6. Step 6: Final answer
    x = 715.26

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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.