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Finding the Fourth Proportional to 537.48, 804.69 and 486.23

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Solution

The fourth proportional to 537.48, 804.69 and 486.23 is: 727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.48 : 804.69 = 486.23 : x
  2. Step 2: Convert to fraction form
    537.48/804.69 = 486.23/x
  3. Step 3: Cross multiply
    537.48x = 804.69 × 486.23
  4. Step 4: Simplify right side
    537.48x = 391,260.40
  5. Step 5: Solve for x
    x = 391,260.40/537.48
  6. Step 6: Final answer
    x = 727.95

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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.