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Finding the Fourth Proportional to 423.83, 581.72 and 376.14

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Solution

The fourth proportional to 423.83, 581.72 and 376.14 is: 516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.83 : 581.72 = 376.14 : x
  2. Step 2: Convert to fraction form
    423.83/581.72 = 376.14/x
  3. Step 3: Cross multiply
    423.83x = 581.72 × 376.14
  4. Step 4: Simplify right side
    423.83x = 218,806.28
  5. Step 5: Solve for x
    x = 218,806.28/423.83
  6. Step 6: Final answer
    x = 516.27

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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.