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Finding the Fourth Proportional to 537.43, 809.76 and 486.13

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Solution

The fourth proportional to 537.43, 809.76 and 486.13 is: 732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.43 : 809.76 = 486.13 : x
  2. Step 2: Convert to fraction form
    537.43/809.76 = 486.13/x
  3. Step 3: Cross multiply
    537.43x = 809.76 × 486.13
  4. Step 4: Simplify right side
    537.43x = 393,648.63
  5. Step 5: Solve for x
    x = 393,648.63/537.43
  6. Step 6: Final answer
    x = 732.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.