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Finding the Fourth Proportional to 818.18, 1,222.08 and 770.79

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Solution

The fourth proportional to 818.18, 1,222.08 and 770.79 is: 1,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.18 : 1,222.08 = 770.79 : x
  2. Step 2: Convert to fraction form
    818.18/1,222.08 = 770.79/x
  3. Step 3: Cross multiply
    818.18x = 1,222.08 × 770.79
  4. Step 4: Simplify right side
    818.18x = 941,967.04
  5. Step 5: Solve for x
    x = 941,967.04/818.18
  6. Step 6: Final answer
    x = 1,151.30

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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.