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Finding the Fourth Proportional to 526.82, 726.22 and 377.10

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Solution

The fourth proportional to 526.82, 726.22 and 377.10 is: 519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.82 : 726.22 = 377.10 : x
  2. Step 2: Convert to fraction form
    526.82/726.22 = 377.10/x
  3. Step 3: Cross multiply
    526.82x = 726.22 × 377.10
  4. Step 4: Simplify right side
    526.82x = 273,857.56
  5. Step 5: Solve for x
    x = 273,857.56/526.82
  6. Step 6: Final answer
    x = 519.83

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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.