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Finding the Fourth Proportional to 474, 714.66 and 378.96

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Solution

The fourth proportional to 474, 714.66 and 378.96 is: 571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 714.66 = 378.96 : x
  2. Step 2: Convert to fraction form
    474/714.66 = 378.96/x
  3. Step 3: Cross multiply
    474x = 714.66 × 378.96
  4. Step 4: Simplify right side
    474x = 270,827.55
  5. Step 5: Solve for x
    x = 270,827.55/474
  6. Step 6: Final answer
    x = 571.37

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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.