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Finding the Fourth Proportional to 626.07, 864.11 and 416.26

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Solution

The fourth proportional to 626.07, 864.11 and 416.26 is: 574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.07 : 864.11 = 416.26 : x
  2. Step 2: Convert to fraction form
    626.07/864.11 = 416.26/x
  3. Step 3: Cross multiply
    626.07x = 864.11 × 416.26
  4. Step 4: Simplify right side
    626.07x = 359,694.43
  5. Step 5: Solve for x
    x = 359,694.43/626.07
  6. Step 6: Final answer
    x = 574.53

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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.