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Finding the Fourth Proportional to 417.99, 625.26 and 344.04

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Solution

The fourth proportional to 417.99, 625.26 and 344.04 is: 514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.99 : 625.26 = 344.04 : x
  2. Step 2: Convert to fraction form
    417.99/625.26 = 344.04/x
  3. Step 3: Cross multiply
    417.99x = 625.26 × 344.04
  4. Step 4: Simplify right side
    417.99x = 215,114.45
  5. Step 5: Solve for x
    x = 215,114.45/417.99
  6. Step 6: Final answer
    x = 514.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.