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Finding the Fourth Proportional to 507.09, 760.55 and 247.25

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Solution

The fourth proportional to 507.09, 760.55 and 247.25 is: 370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.09 : 760.55 = 247.25 : x
  2. Step 2: Convert to fraction form
    507.09/760.55 = 247.25/x
  3. Step 3: Cross multiply
    507.09x = 760.55 × 247.25
  4. Step 4: Simplify right side
    507.09x = 188,040.95
  5. Step 5: Solve for x
    x = 188,040.95/507.09
  6. Step 6: Final answer
    x = 370.82

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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.