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Finding the Fourth Proportional to 609.88, 841.24 and 423.38

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Solution

The fourth proportional to 609.88, 841.24 and 423.38 is: 583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.88 : 841.24 = 423.38 : x
  2. Step 2: Convert to fraction form
    609.88/841.24 = 423.38/x
  3. Step 3: Cross multiply
    609.88x = 841.24 × 423.38
  4. Step 4: Simplify right side
    609.88x = 356,164.19
  5. Step 5: Solve for x
    x = 356,164.19/609.88
  6. Step 6: Final answer
    x = 583.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.