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Finding the Fourth Proportional to 624.97, 862.55 and 359.44

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Solution

The fourth proportional to 624.97, 862.55 and 359.44 is: 496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.97 : 862.55 = 359.44 : x
  2. Step 2: Convert to fraction form
    624.97/862.55 = 359.44/x
  3. Step 3: Cross multiply
    624.97x = 862.55 × 359.44
  4. Step 4: Simplify right side
    624.97x = 310,032.37
  5. Step 5: Solve for x
    x = 310,032.37/624.97
  6. Step 6: Final answer
    x = 496.08

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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.