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Finding the Fourth Proportional to 813.17, 1,219.02 and 402.11

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Solution

The fourth proportional to 813.17, 1,219.02 and 402.11 is: 602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.17 : 1,219.02 = 402.11 : x
  2. Step 2: Convert to fraction form
    813.17/1,219.02 = 402.11/x
  3. Step 3: Cross multiply
    813.17x = 1,219.02 × 402.11
  4. Step 4: Simplify right side
    813.17x = 490,180.13
  5. Step 5: Solve for x
    x = 490,180.13/813.17
  6. Step 6: Final answer
    x = 602.80

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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.