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Finding the Fourth Proportional to 507.76, 760.97 and 247.23

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Solution

The fourth proportional to 507.76, 760.97 and 247.23 is: 370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.76 : 760.97 = 247.23 : x
  2. Step 2: Convert to fraction form
    507.76/760.97 = 247.23/x
  3. Step 3: Cross multiply
    507.76x = 760.97 × 247.23
  4. Step 4: Simplify right side
    507.76x = 188,135.23
  5. Step 5: Solve for x
    x = 188,135.23/507.76
  6. Step 6: Final answer
    x = 370.52

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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.