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Finding the Fourth Proportional to 816.20, 1,224.30 and 802.70

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Solution

The fourth proportional to 816.20, 1,224.30 and 802.70 is: 1,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.20 : 1,224.30 = 802.70 : x
  2. Step 2: Convert to fraction form
    816.20/1,224.30 = 802.70/x
  3. Step 3: Cross multiply
    816.20x = 1,224.30 × 802.70
  4. Step 4: Simplify right side
    816.20x = 982,745.61
  5. Step 5: Solve for x
    x = 982,745.61/816.20
  6. Step 6: Final answer
    x = 1,204.05

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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.