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Finding the Fourth Proportional to 567.45, 782.79 and 380.96

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Solution

The fourth proportional to 567.45, 782.79 and 380.96 is: 525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.45 : 782.79 = 380.96 : x
  2. Step 2: Convert to fraction form
    567.45/782.79 = 380.96/x
  3. Step 3: Cross multiply
    567.45x = 782.79 × 380.96
  4. Step 4: Simplify right side
    567.45x = 298,211.68
  5. Step 5: Solve for x
    x = 298,211.68/567.45
  6. Step 6: Final answer
    x = 525.53

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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.