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Finding the Fourth Proportional to 569.91, 856.48 and 338.85

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Solution

The fourth proportional to 569.91, 856.48 and 338.85 is: 509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.91 : 856.48 = 338.85 : x
  2. Step 2: Convert to fraction form
    569.91/856.48 = 338.85/x
  3. Step 3: Cross multiply
    569.91x = 856.48 × 338.85
  4. Step 4: Simplify right side
    569.91x = 290,212.27
  5. Step 5: Solve for x
    x = 290,212.27/569.91
  6. Step 6: Final answer
    x = 509.22

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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.