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Finding the Fourth Proportional to 555.11, 765.91 and 378.23

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Solution

The fourth proportional to 555.11, 765.91 and 378.23 is: 521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.11 : 765.91 = 378.23 : x
  2. Step 2: Convert to fraction form
    555.11/765.91 = 378.23/x
  3. Step 3: Cross multiply
    555.11x = 765.91 × 378.23
  4. Step 4: Simplify right side
    555.11x = 289,690.14
  5. Step 5: Solve for x
    x = 289,690.14/555.11
  6. Step 6: Final answer
    x = 521.86

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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.