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Finding the Fourth Proportional to 609.80, 841.01 and 470.23

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Solution

The fourth proportional to 609.80, 841.01 and 470.23 is: 648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.80 : 841.01 = 470.23 : x
  2. Step 2: Convert to fraction form
    609.80/841.01 = 470.23/x
  3. Step 3: Cross multiply
    609.80x = 841.01 × 470.23
  4. Step 4: Simplify right side
    609.80x = 395,463.68
  5. Step 5: Solve for x
    x = 395,463.68/609.80
  6. Step 6: Final answer
    x = 648.52

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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.