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Finding the Fourth Proportional to 626.80, 865.00 and 416.61

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Solution

The fourth proportional to 626.80, 865.00 and 416.61 is: 574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.80 : 865.00 = 416.61 : x
  2. Step 2: Convert to fraction form
    626.80/865.00 = 416.61/x
  3. Step 3: Cross multiply
    626.80x = 865.00 × 416.61
  4. Step 4: Simplify right side
    626.80x = 360,366.61
  5. Step 5: Solve for x
    x = 360,366.61/626.80
  6. Step 6: Final answer
    x = 574.93

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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.