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Finding the Fourth Proportional to 625.30, 862.77 and 363.16

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Solution

The fourth proportional to 625.30, 862.77 and 363.16 is: 501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.30 : 862.77 = 363.16 : x
  2. Step 2: Convert to fraction form
    625.30/862.77 = 363.16/x
  3. Step 3: Cross multiply
    625.30x = 862.77 × 363.16
  4. Step 4: Simplify right side
    625.30x = 313,323.55
  5. Step 5: Solve for x
    x = 313,323.55/625.30
  6. Step 6: Final answer
    x = 501.08

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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.