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Finding the Fourth Proportional to 804.97, 1,204.84 and 434.26

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Solution

The fourth proportional to 804.97, 1,204.84 and 434.26 is: 649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.97 : 1,204.84 = 434.26 : x
  2. Step 2: Convert to fraction form
    804.97/1,204.84 = 434.26/x
  3. Step 3: Cross multiply
    804.97x = 1,204.84 × 434.26
  4. Step 4: Simplify right side
    804.97x = 523,211.35
  5. Step 5: Solve for x
    x = 523,211.35/804.97
  6. Step 6: Final answer
    x = 649.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.