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Finding the Fourth Proportional to 416.07, 626.91 and 371.85

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Solution

The fourth proportional to 416.07, 626.91 and 371.85 is: 560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.07 : 626.91 = 371.85 : x
  2. Step 2: Convert to fraction form
    416.07/626.91 = 371.85/x
  3. Step 3: Cross multiply
    416.07x = 626.91 × 371.85
  4. Step 4: Simplify right side
    416.07x = 233,116.48
  5. Step 5: Solve for x
    x = 233,116.48/416.07
  6. Step 6: Final answer
    x = 560.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.