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Finding the Fourth Proportional to 625.56, 863.63 and 416.02

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Solution

The fourth proportional to 625.56, 863.63 and 416.02 is: 574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.56 : 863.63 = 416.02 : x
  2. Step 2: Convert to fraction form
    625.56/863.63 = 416.02/x
  3. Step 3: Cross multiply
    625.56x = 863.63 × 416.02
  4. Step 4: Simplify right side
    625.56x = 359,287.35
  5. Step 5: Solve for x
    x = 359,287.35/625.56
  6. Step 6: Final answer
    x = 574.35

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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.