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Finding the Fourth Proportional to 609.40, 841.04 and 469.72

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Solution

The fourth proportional to 609.40, 841.04 and 469.72 is: 648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.40 : 841.04 = 469.72 : x
  2. Step 2: Convert to fraction form
    609.40/841.04 = 469.72/x
  3. Step 3: Cross multiply
    609.40x = 841.04 × 469.72
  4. Step 4: Simplify right side
    609.40x = 395,053.31
  5. Step 5: Solve for x
    x = 395,053.31/609.40
  6. Step 6: Final answer
    x = 648.27

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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.