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Finding the Fourth Proportional to 419.72, 625.82 and 404.71

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Solution

The fourth proportional to 419.72, 625.82 and 404.71 is: 603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.72 : 625.82 = 404.71 : x
  2. Step 2: Convert to fraction form
    419.72/625.82 = 404.71/x
  3. Step 3: Cross multiply
    419.72x = 625.82 × 404.71
  4. Step 4: Simplify right side
    419.72x = 253,274.30
  5. Step 5: Solve for x
    x = 253,274.30/419.72
  6. Step 6: Final answer
    x = 603.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.