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Finding the Fourth Proportional to 567.41, 782.99 and 380.87

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Solution

The fourth proportional to 567.41, 782.99 and 380.87 is: 525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.41 : 782.99 = 380.87 : x
  2. Step 2: Convert to fraction form
    567.41/782.99 = 380.87/x
  3. Step 3: Cross multiply
    567.41x = 782.99 × 380.87
  4. Step 4: Simplify right side
    567.41x = 298,217.46
  5. Step 5: Solve for x
    x = 298,217.46/567.41
  6. Step 6: Final answer
    x = 525.58

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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.