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Finding the Fourth Proportional to 802.49, 1,204.46 and 340.61

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Solution

The fourth proportional to 802.49, 1,204.46 and 340.61 is: 511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.49 : 1,204.46 = 340.61 : x
  2. Step 2: Convert to fraction form
    802.49/1,204.46 = 340.61/x
  3. Step 3: Cross multiply
    802.49x = 1,204.46 × 340.61
  4. Step 4: Simplify right side
    802.49x = 410,251.12
  5. Step 5: Solve for x
    x = 410,251.12/802.49
  6. Step 6: Final answer
    x = 511.22

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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.