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Finding the Fourth Proportional to 574.22, 856.42 and 488.12

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Solution

The fourth proportional to 574.22, 856.42 and 488.12 is: 728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.22 : 856.42 = 488.12 : x
  2. Step 2: Convert to fraction form
    574.22/856.42 = 488.12/x
  3. Step 3: Cross multiply
    574.22x = 856.42 × 488.12
  4. Step 4: Simplify right side
    574.22x = 418,035.73
  5. Step 5: Solve for x
    x = 418,035.73/574.22
  6. Step 6: Final answer
    x = 728.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.