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Finding the Fourth Proportional to 415.60, 622.45 and 353.23

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Solution

The fourth proportional to 415.60, 622.45 and 353.23 is: 529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.60 : 622.45 = 353.23 : x
  2. Step 2: Convert to fraction form
    415.60/622.45 = 353.23/x
  3. Step 3: Cross multiply
    415.60x = 622.45 × 353.23
  4. Step 4: Simplify right side
    415.60x = 219,868.01
  5. Step 5: Solve for x
    x = 219,868.01/415.60
  6. Step 6: Final answer
    x = 529.04

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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.