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Finding the Fourth Proportional to 507.78, 762.37 and 261.19

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Solution

The fourth proportional to 507.78, 762.37 and 261.19 is: 392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.78 : 762.37 = 261.19 : x
  2. Step 2: Convert to fraction form
    507.78/762.37 = 261.19/x
  3. Step 3: Cross multiply
    507.78x = 762.37 × 261.19
  4. Step 4: Simplify right side
    507.78x = 199,120.48
  5. Step 5: Solve for x
    x = 199,120.48/507.78
  6. Step 6: Final answer
    x = 392.14

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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.