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Finding the Fourth Proportional to 556.20, 766.80 and 381.78

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Solution

The fourth proportional to 556.20, 766.80 and 381.78 is: 526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.20 : 766.80 = 381.78 : x
  2. Step 2: Convert to fraction form
    556.20/766.80 = 381.78/x
  3. Step 3: Cross multiply
    556.20x = 766.80 × 381.78
  4. Step 4: Simplify right side
    556.20x = 292,748.90
  5. Step 5: Solve for x
    x = 292,748.90/556.20
  6. Step 6: Final answer
    x = 526.34

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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.