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Finding the Fourth Proportional to 502.46, 755.20 and 416.36

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Solution

The fourth proportional to 502.46, 755.20 and 416.36 is: 625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.46 : 755.20 = 416.36 : x
  2. Step 2: Convert to fraction form
    502.46/755.20 = 416.36/x
  3. Step 3: Cross multiply
    502.46x = 755.20 × 416.36
  4. Step 4: Simplify right side
    502.46x = 314,435.07
  5. Step 5: Solve for x
    x = 314,435.07/502.46
  6. Step 6: Final answer
    x = 625.79

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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.