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Finding the Fourth Proportional to 626.99, 865.29 and 416.81

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Solution

The fourth proportional to 626.99, 865.29 and 416.81 is: 575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.99 : 865.29 = 416.81 : x
  2. Step 2: Convert to fraction form
    626.99/865.29 = 416.81/x
  3. Step 3: Cross multiply
    626.99x = 865.29 × 416.81
  4. Step 4: Simplify right side
    626.99x = 360,661.52
  5. Step 5: Solve for x
    x = 360,661.52/626.99
  6. Step 6: Final answer
    x = 575.23

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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.