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Finding the Fourth Proportional to 416.63, 624.59 and 279.25

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Solution

The fourth proportional to 416.63, 624.59 and 279.25 is: 418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.63 : 624.59 = 279.25 : x
  2. Step 2: Convert to fraction form
    416.63/624.59 = 279.25/x
  3. Step 3: Cross multiply
    416.63x = 624.59 × 279.25
  4. Step 4: Simplify right side
    416.63x = 174,415.36
  5. Step 5: Solve for x
    x = 174,415.36/416.63
  6. Step 6: Final answer
    x = 418.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.