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Finding the Fourth Proportional to 625.53, 863.28 and 360.06

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Solution

The fourth proportional to 625.53, 863.28 and 360.06 is: 496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.53 : 863.28 = 360.06 : x
  2. Step 2: Convert to fraction form
    625.53/863.28 = 360.06/x
  3. Step 3: Cross multiply
    625.53x = 863.28 × 360.06
  4. Step 4: Simplify right side
    625.53x = 310,829.18
  5. Step 5: Solve for x
    x = 310,829.18/625.53
  6. Step 6: Final answer
    x = 496.91

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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.