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Finding the Fourth Proportional to 567.57, 783.64 and 371.42

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Solution

The fourth proportional to 567.57, 783.64 and 371.42 is: 512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.57 : 783.64 = 371.42 : x
  2. Step 2: Convert to fraction form
    567.57/783.64 = 371.42/x
  3. Step 3: Cross multiply
    567.57x = 783.64 × 371.42
  4. Step 4: Simplify right side
    567.57x = 291,059.05
  5. Step 5: Solve for x
    x = 291,059.05/567.57
  6. Step 6: Final answer
    x = 512.81

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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.