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Finding the Fourth Proportional to 537.47, 739.88 and 482.19

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Solution

The fourth proportional to 537.47, 739.88 and 482.19 is: 663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.47 : 739.88 = 482.19 : x
  2. Step 2: Convert to fraction form
    537.47/739.88 = 482.19/x
  3. Step 3: Cross multiply
    537.47x = 739.88 × 482.19
  4. Step 4: Simplify right side
    537.47x = 356,762.07
  5. Step 5: Solve for x
    x = 356,762.07/537.47
  6. Step 6: Final answer
    x = 663.78

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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.