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Finding the Fourth Proportional to 574.19, 856.32 and 488.07

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Solution

The fourth proportional to 574.19, 856.32 and 488.07 is: 727.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.19 : 856.32 = 488.07 : x
  2. Step 2: Convert to fraction form
    574.19/856.32 = 488.07/x
  3. Step 3: Cross multiply
    574.19x = 856.32 × 488.07
  4. Step 4: Simplify right side
    574.19x = 417,942.27
  5. Step 5: Solve for x
    x = 417,942.27/574.19
  6. Step 6: Final answer
    x = 727.88

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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.