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Finding the Fourth Proportional to 441.35, 608.69 and 414.93

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Solution

The fourth proportional to 441.35, 608.69 and 414.93 is: 572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.35 : 608.69 = 414.93 : x
  2. Step 2: Convert to fraction form
    441.35/608.69 = 414.93/x
  3. Step 3: Cross multiply
    441.35x = 608.69 × 414.93
  4. Step 4: Simplify right side
    441.35x = 252,563.74
  5. Step 5: Solve for x
    x = 252,563.74/441.35
  6. Step 6: Final answer
    x = 572.25

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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.