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Finding the Fourth Proportional to 574.40, 856.18 and 550.10

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Solution

The fourth proportional to 574.40, 856.18 and 550.10 is: 819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.40 : 856.18 = 550.10 : x
  2. Step 2: Convert to fraction form
    574.40/856.18 = 550.10/x
  3. Step 3: Cross multiply
    574.40x = 856.18 × 550.10
  4. Step 4: Simplify right side
    574.40x = 470,984.62
  5. Step 5: Solve for x
    x = 470,984.62/574.40
  6. Step 6: Final answer
    x = 819.96

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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.