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Finding the Fourth Proportional to 567.38, 783.26 and 380.80

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Solution

The fourth proportional to 567.38, 783.26 and 380.80 is: 525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.38 : 783.26 = 380.80 : x
  2. Step 2: Convert to fraction form
    567.38/783.26 = 380.80/x
  3. Step 3: Cross multiply
    567.38x = 783.26 × 380.80
  4. Step 4: Simplify right side
    567.38x = 298,265.38
  5. Step 5: Solve for x
    x = 298,265.38/567.38
  6. Step 6: Final answer
    x = 525.69

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1.5x scale

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.