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Finding the Fourth Proportional to 803.18, 1,206.62 and 770.38

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Solution

The fourth proportional to 803.18, 1,206.62 and 770.38 is: 1,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.18 : 1,206.62 = 770.38 : x
  2. Step 2: Convert to fraction form
    803.18/1,206.62 = 770.38/x
  3. Step 3: Cross multiply
    803.18x = 1,206.62 × 770.38
  4. Step 4: Simplify right side
    803.18x = 929,555.92
  5. Step 5: Solve for x
    x = 929,555.92/803.18
  6. Step 6: Final answer
    x = 1,157.34

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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.