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Finding the Fourth Proportional to 625.02, 862.26 and 404.00

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Solution

The fourth proportional to 625.02, 862.26 and 404.00 is: 557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.02 : 862.26 = 404.00 : x
  2. Step 2: Convert to fraction form
    625.02/862.26 = 404.00/x
  3. Step 3: Cross multiply
    625.02x = 862.26 × 404.00
  4. Step 4: Simplify right side
    625.02x = 348,348.73
  5. Step 5: Solve for x
    x = 348,348.73/625.02
  6. Step 6: Final answer
    x = 557.34

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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.