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Finding the Fourth Proportional to 625.02, 862.56 and 404.40

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Solution

The fourth proportional to 625.02, 862.56 and 404.40 is: 558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.02 : 862.56 = 404.40 : x
  2. Step 2: Convert to fraction form
    625.02/862.56 = 404.40/x
  3. Step 3: Cross multiply
    625.02x = 862.56 × 404.40
  4. Step 4: Simplify right side
    625.02x = 348,819.26
  5. Step 5: Solve for x
    x = 348,819.26/625.02
  6. Step 6: Final answer
    x = 558.09

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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.