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Finding the Fourth Proportional to 818.88, 1,220.46 and 812.10

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Solution

The fourth proportional to 818.88, 1,220.46 and 812.10 is: 1,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.88 : 1,220.46 = 812.10 : x
  2. Step 2: Convert to fraction form
    818.88/1,220.46 = 812.10/x
  3. Step 3: Cross multiply
    818.88x = 1,220.46 × 812.10
  4. Step 4: Simplify right side
    818.88x = 991,135.57
  5. Step 5: Solve for x
    x = 991,135.57/818.88
  6. Step 6: Final answer
    x = 1,210.36

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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.