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Finding the Fourth Proportional to 609.41, 841.10 and 347.45

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Solution

The fourth proportional to 609.41, 841.10 and 347.45 is: 479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.41 : 841.10 = 347.45 : x
  2. Step 2: Convert to fraction form
    609.41/841.10 = 347.45/x
  3. Step 3: Cross multiply
    609.41x = 841.10 × 347.45
  4. Step 4: Simplify right side
    609.41x = 292,234.25
  5. Step 5: Solve for x
    x = 292,234.25/609.41
  6. Step 6: Final answer
    x = 479.54

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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.