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Finding the Fourth Proportional to 567.44, 782.60 and 380.88

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Solution

The fourth proportional to 567.44, 782.60 and 380.88 is: 525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.44 : 782.60 = 380.88 : x
  2. Step 2: Convert to fraction form
    567.44/782.60 = 380.88/x
  3. Step 3: Cross multiply
    567.44x = 782.60 × 380.88
  4. Step 4: Simplify right side
    567.44x = 298,076.69
  5. Step 5: Solve for x
    x = 298,076.69/567.44
  6. Step 6: Final answer
    x = 525.30

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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.