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Finding the Fourth Proportional to 609.89, 841.64 and 330.13

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Solution

The fourth proportional to 609.89, 841.64 and 330.13 is: 455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.89 : 841.64 = 330.13 : x
  2. Step 2: Convert to fraction form
    609.89/841.64 = 330.13/x
  3. Step 3: Cross multiply
    609.89x = 841.64 × 330.13
  4. Step 4: Simplify right side
    609.89x = 277,847.14
  5. Step 5: Solve for x
    x = 277,847.14/609.89
  6. Step 6: Final answer
    x = 455.57

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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.