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Finding the Fourth Proportional to 609.39, 841.19 and 463.08

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Solution

The fourth proportional to 609.39, 841.19 and 463.08 is: 639.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.39 : 841.19 = 463.08 : x
  2. Step 2: Convert to fraction form
    609.39/841.19 = 463.08/x
  3. Step 3: Cross multiply
    609.39x = 841.19 × 463.08
  4. Step 4: Simplify right side
    609.39x = 389,539.10
  5. Step 5: Solve for x
    x = 389,539.10/609.39
  6. Step 6: Final answer
    x = 639.23

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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.