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Finding the Fourth Proportional to 619.12, 932.56 and 475.84

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Solution

The fourth proportional to 619.12, 932.56 and 475.84 is: 716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.12 : 932.56 = 475.84 : x
  2. Step 2: Convert to fraction form
    619.12/932.56 = 475.84/x
  3. Step 3: Cross multiply
    619.12x = 932.56 × 475.84
  4. Step 4: Simplify right side
    619.12x = 443,749.35
  5. Step 5: Solve for x
    x = 443,749.35/619.12
  6. Step 6: Final answer
    x = 716.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.