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Finding the Fourth Proportional to 626.26, 864.60 and 416.72

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Solution

The fourth proportional to 626.26, 864.60 and 416.72 is: 575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.26 : 864.60 = 416.72 : x
  2. Step 2: Convert to fraction form
    626.26/864.60 = 416.72/x
  3. Step 3: Cross multiply
    626.26x = 864.60 × 416.72
  4. Step 4: Simplify right side
    626.26x = 360,296.11
  5. Step 5: Solve for x
    x = 360,296.11/626.26
  6. Step 6: Final answer
    x = 575.31

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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.