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Finding the Fourth Proportional to 415.52, 622.97 and 313.46

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Solution

The fourth proportional to 415.52, 622.97 and 313.46 is: 469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.52 : 622.97 = 313.46 : x
  2. Step 2: Convert to fraction form
    415.52/622.97 = 313.46/x
  3. Step 3: Cross multiply
    415.52x = 622.97 × 313.46
  4. Step 4: Simplify right side
    415.52x = 195,276.18
  5. Step 5: Solve for x
    x = 195,276.18/415.52
  6. Step 6: Final answer
    x = 469.96

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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.