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Finding the Fourth Proportional to 555.72, 766.76 and 378.80

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Solution

The fourth proportional to 555.72, 766.76 and 378.80 is: 522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.72 : 766.76 = 378.80 : x
  2. Step 2: Convert to fraction form
    555.72/766.76 = 378.80/x
  3. Step 3: Cross multiply
    555.72x = 766.76 × 378.80
  4. Step 4: Simplify right side
    555.72x = 290,448.69
  5. Step 5: Solve for x
    x = 290,448.69/555.72
  6. Step 6: Final answer
    x = 522.65

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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.