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Finding the Fourth Proportional to 625.37, 862.19 and 428.54

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Solution

The fourth proportional to 625.37, 862.19 and 428.54 is: 590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.37 : 862.19 = 428.54 : x
  2. Step 2: Convert to fraction form
    625.37/862.19 = 428.54/x
  3. Step 3: Cross multiply
    625.37x = 862.19 × 428.54
  4. Step 4: Simplify right side
    625.37x = 369,476.45
  5. Step 5: Solve for x
    x = 369,476.45/625.37
  6. Step 6: Final answer
    x = 590.82

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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.