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Finding the Fourth Proportional to 423.88, 581.37 and 416.84

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Solution

The fourth proportional to 423.88, 581.37 and 416.84 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.88 : 581.37 = 416.84 : x
  2. Step 2: Convert to fraction form
    423.88/581.37 = 416.84/x
  3. Step 3: Cross multiply
    423.88x = 581.37 × 416.84
  4. Step 4: Simplify right side
    423.88x = 242,338.27
  5. Step 5: Solve for x
    x = 242,338.27/423.88
  6. Step 6: Final answer
    x = 571.71

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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.