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Finding the Fourth Proportional to 626.21, 864.53 and 416.68

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Solution

The fourth proportional to 626.21, 864.53 and 416.68 is: 575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.21 : 864.53 = 416.68 : x
  2. Step 2: Convert to fraction form
    626.21/864.53 = 416.68/x
  3. Step 3: Cross multiply
    626.21x = 864.53 × 416.68
  4. Step 4: Simplify right side
    626.21x = 360,232.36
  5. Step 5: Solve for x
    x = 360,232.36/626.21
  6. Step 6: Final answer
    x = 575.26

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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.