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Finding the Fourth Proportional to 555.92, 767.44 and 379.80

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Solution

The fourth proportional to 555.92, 767.44 and 379.80 is: 524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.92 : 767.44 = 379.80 : x
  2. Step 2: Convert to fraction form
    555.92/767.44 = 379.80/x
  3. Step 3: Cross multiply
    555.92x = 767.44 × 379.80
  4. Step 4: Simplify right side
    555.92x = 291,474.19
  5. Step 5: Solve for x
    x = 291,474.19/555.92
  6. Step 6: Final answer
    x = 524.31

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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.