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Finding the Fourth Proportional to 555.20, 765.33 and 456.78

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Solution

The fourth proportional to 555.20, 765.33 and 456.78 is: 629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.20 : 765.33 = 456.78 : x
  2. Step 2: Convert to fraction form
    555.20/765.33 = 456.78/x
  3. Step 3: Cross multiply
    555.20x = 765.33 × 456.78
  4. Step 4: Simplify right side
    555.20x = 349,587.44
  5. Step 5: Solve for x
    x = 349,587.44/555.20
  6. Step 6: Final answer
    x = 629.66

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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.