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Finding the Fourth Proportional to 552.87, 762.98 and 304.21

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Solution

The fourth proportional to 552.87, 762.98 and 304.21 is: 419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.87 : 762.98 = 304.21 : x
  2. Step 2: Convert to fraction form
    552.87/762.98 = 304.21/x
  3. Step 3: Cross multiply
    552.87x = 762.98 × 304.21
  4. Step 4: Simplify right side
    552.87x = 232,102.72
  5. Step 5: Solve for x
    x = 232,102.72/552.87
  6. Step 6: Final answer
    x = 419.81

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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.