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Finding the Fourth Proportional to 567.50, 783.25 and 371.43

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Solution

The fourth proportional to 567.50, 783.25 and 371.43 is: 512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.50 : 783.25 = 371.43 : x
  2. Step 2: Convert to fraction form
    567.50/783.25 = 371.43/x
  3. Step 3: Cross multiply
    567.50x = 783.25 × 371.43
  4. Step 4: Simplify right side
    567.50x = 290,922.55
  5. Step 5: Solve for x
    x = 290,922.55/567.50
  6. Step 6: Final answer
    x = 512.64

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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.