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Finding the Fourth Proportional to 415.84, 574.56 and 345.76

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Solution

The fourth proportional to 415.84, 574.56 and 345.76 is: 477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.84 : 574.56 = 345.76 : x
  2. Step 2: Convert to fraction form
    415.84/574.56 = 345.76/x
  3. Step 3: Cross multiply
    415.84x = 574.56 × 345.76
  4. Step 4: Simplify right side
    415.84x = 198,659.87
  5. Step 5: Solve for x
    x = 198,659.87/415.84
  6. Step 6: Final answer
    x = 477.73

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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.