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Finding the Fourth Proportional to 609.42, 841.27 and 469.49

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Solution

The fourth proportional to 609.42, 841.27 and 469.49 is: 648.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.42 : 841.27 = 469.49 : x
  2. Step 2: Convert to fraction form
    609.42/841.27 = 469.49/x
  3. Step 3: Cross multiply
    609.42x = 841.27 × 469.49
  4. Step 4: Simplify right side
    609.42x = 394,962.47
  5. Step 5: Solve for x
    x = 394,962.47/609.42
  6. Step 6: Final answer
    x = 648.10

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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.