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Finding the Fourth Proportional to 569.72, 856.22 and 378.56

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Solution

The fourth proportional to 569.72, 856.22 and 378.56 is: 568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.72 : 856.22 = 378.56 : x
  2. Step 2: Convert to fraction form
    569.72/856.22 = 378.56/x
  3. Step 3: Cross multiply
    569.72x = 856.22 × 378.56
  4. Step 4: Simplify right side
    569.72x = 324,130.64
  5. Step 5: Solve for x
    x = 324,130.64/569.72
  6. Step 6: Final answer
    x = 568.93

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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.