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Finding the Fourth Proportional to 418.26, 624.81 and 410.16

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Solution

The fourth proportional to 418.26, 624.81 and 410.16 is: 612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.26 : 624.81 = 410.16 : x
  2. Step 2: Convert to fraction form
    418.26/624.81 = 410.16/x
  3. Step 3: Cross multiply
    418.26x = 624.81 × 410.16
  4. Step 4: Simplify right side
    418.26x = 256,272.07
  5. Step 5: Solve for x
    x = 256,272.07/418.26
  6. Step 6: Final answer
    x = 612.71

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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.