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Finding the Fourth Proportional to 507.47, 761.37 and 247.44

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Solution

The fourth proportional to 507.47, 761.37 and 247.44 is: 371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.47 : 761.37 = 247.44 : x
  2. Step 2: Convert to fraction form
    507.47/761.37 = 247.44/x
  3. Step 3: Cross multiply
    507.47x = 761.37 × 247.44
  4. Step 4: Simplify right side
    507.47x = 188,390.25
  5. Step 5: Solve for x
    x = 188,390.25/507.47
  6. Step 6: Final answer
    x = 371.23

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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.