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Finding the Fourth Proportional to 818.16, 1,220.46 and 802.80

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Solution

The fourth proportional to 818.16, 1,220.46 and 802.80 is: 1,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.16 : 1,220.46 = 802.80 : x
  2. Step 2: Convert to fraction form
    818.16/1,220.46 = 802.80/x
  3. Step 3: Cross multiply
    818.16x = 1,220.46 × 802.80
  4. Step 4: Simplify right side
    818.16x = 979,785.29
  5. Step 5: Solve for x
    x = 979,785.29/818.16
  6. Step 6: Final answer
    x = 1,197.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.