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Finding the Fourth Proportional to 415.54, 618.43 and 414.26

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Solution

The fourth proportional to 415.54, 618.43 and 414.26 is: 616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.54 : 618.43 = 414.26 : x
  2. Step 2: Convert to fraction form
    415.54/618.43 = 414.26/x
  3. Step 3: Cross multiply
    415.54x = 618.43 × 414.26
  4. Step 4: Simplify right side
    415.54x = 256,188.74
  5. Step 5: Solve for x
    x = 256,188.74/415.54
  6. Step 6: Final answer
    x = 616.52

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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.