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Finding the Fourth Proportional to 423.93, 579.99 and 422.11

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Solution

The fourth proportional to 423.93, 579.99 and 422.11 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.93 : 579.99 = 422.11 : x
  2. Step 2: Convert to fraction form
    423.93/579.99 = 422.11/x
  3. Step 3: Cross multiply
    423.93x = 579.99 × 422.11
  4. Step 4: Simplify right side
    423.93x = 244,818.52
  5. Step 5: Solve for x
    x = 244,818.52/423.93
  6. Step 6: Final answer
    x = 577.50

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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.