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Finding the Fourth Proportional to 625.08, 862.44 and 428.64

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Solution

The fourth proportional to 625.08, 862.44 and 428.64 is: 591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.08 : 862.44 = 428.64 : x
  2. Step 2: Convert to fraction form
    625.08/862.44 = 428.64/x
  3. Step 3: Cross multiply
    625.08x = 862.44 × 428.64
  4. Step 4: Simplify right side
    625.08x = 369,676.28
  5. Step 5: Solve for x
    x = 369,676.28/625.08
  6. Step 6: Final answer
    x = 591.41

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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.