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Finding the Fourth Proportional to 419.48, 625.79 and 408.17

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Solution

The fourth proportional to 419.48, 625.79 and 408.17 is: 608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 625.79 = 408.17 : x
  2. Step 2: Convert to fraction form
    419.48/625.79 = 408.17/x
  3. Step 3: Cross multiply
    419.48x = 625.79 × 408.17
  4. Step 4: Simplify right side
    419.48x = 255,423.53
  5. Step 5: Solve for x
    x = 255,423.53/419.48
  6. Step 6: Final answer
    x = 608.91

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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.