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Finding the Fourth Proportional to 501.43, 691.23 and 377.09

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Solution

The fourth proportional to 501.43, 691.23 and 377.09 is: 519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.43 : 691.23 = 377.09 : x
  2. Step 2: Convert to fraction form
    501.43/691.23 = 377.09/x
  3. Step 3: Cross multiply
    501.43x = 691.23 × 377.09
  4. Step 4: Simplify right side
    501.43x = 260,655.92
  5. Step 5: Solve for x
    x = 260,655.92/501.43
  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.