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Finding the Fourth Proportional to 537.47, 740.91 and 371.41

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Solution

The fourth proportional to 537.47, 740.91 and 371.41 is: 511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.47 : 740.91 = 371.41 : x
  2. Step 2: Convert to fraction form
    537.47/740.91 = 371.41/x
  3. Step 3: Cross multiply
    537.47x = 740.91 × 371.41
  4. Step 4: Simplify right side
    537.47x = 275,181.38
  5. Step 5: Solve for x
    x = 275,181.38/537.47
  6. Step 6: Final answer
    x = 511.99

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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.