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Finding the Fourth Proportional to 574.10, 860.55 and 313.70

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Solution

The fourth proportional to 574.10, 860.55 and 313.70 is: 470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.10 : 860.55 = 313.70 : x
  2. Step 2: Convert to fraction form
    574.10/860.55 = 313.70/x
  3. Step 3: Cross multiply
    574.10x = 860.55 × 313.70
  4. Step 4: Simplify right side
    574.10x = 269,954.54
  5. Step 5: Solve for x
    x = 269,954.54/574.10
  6. Step 6: Final answer
    x = 470.22

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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.