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Finding the Fourth Proportional to 567.78, 852 and 372.78

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Solution

The fourth proportional to 567.78, 852 and 372.78 is: 559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.78 : 852 = 372.78 : x
  2. Step 2: Convert to fraction form
    567.78/852 = 372.78/x
  3. Step 3: Cross multiply
    567.78x = 852 × 372.78
  4. Step 4: Simplify right side
    567.78x = 317,608.56
  5. Step 5: Solve for x
    x = 317,608.56/567.78
  6. Step 6: Final answer
    x = 559.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.