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Finding the Fourth Proportional to 423.87, 581.83 and 391.06

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Solution

The fourth proportional to 423.87, 581.83 and 391.06 is: 536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.87 : 581.83 = 391.06 : x
  2. Step 2: Convert to fraction form
    423.87/581.83 = 391.06/x
  3. Step 3: Cross multiply
    423.87x = 581.83 × 391.06
  4. Step 4: Simplify right side
    423.87x = 227,530.44
  5. Step 5: Solve for x
    x = 227,530.44/423.87
  6. Step 6: Final answer
    x = 536.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.