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Finding the Fourth Proportional to 445.52, 615.66 and 379.10

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Solution

The fourth proportional to 445.52, 615.66 and 379.10 is: 523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.52 : 615.66 = 379.10 : x
  2. Step 2: Convert to fraction form
    445.52/615.66 = 379.10/x
  3. Step 3: Cross multiply
    445.52x = 615.66 × 379.10
  4. Step 4: Simplify right side
    445.52x = 233,396.71
  5. Step 5: Solve for x
    x = 233,396.71/445.52
  6. Step 6: Final answer
    x = 523.87

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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.