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Finding the Fourth Proportional to 813.02, 1,219.56 and 770.90

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Solution

The fourth proportional to 813.02, 1,219.56 and 770.90 is: 1,156.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.02 : 1,219.56 = 770.90 : x
  2. Step 2: Convert to fraction form
    813.02/1,219.56 = 770.90/x
  3. Step 3: Cross multiply
    813.02x = 1,219.56 × 770.90
  4. Step 4: Simplify right side
    813.02x = 940,158.80
  5. Step 5: Solve for x
    x = 940,158.80/813.02
  6. Step 6: Final answer
    x = 1,156.38

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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.