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Finding the Fourth Proportional to 502.72, 755.56 and 416.61

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Solution

The fourth proportional to 502.72, 755.56 and 416.61 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.72 : 755.56 = 416.61 : x
  2. Step 2: Convert to fraction form
    502.72/755.56 = 416.61/x
  3. Step 3: Cross multiply
    502.72x = 755.56 × 416.61
  4. Step 4: Simplify right side
    502.72x = 314,774.37
  5. Step 5: Solve for x
    x = 314,774.37/502.72
  6. Step 6: Final answer
    x = 626.14

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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.