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Finding the Fourth Proportional to 813.57, 1,218.83 and 402.23

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Solution

The fourth proportional to 813.57, 1,218.83 and 402.23 is: 602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.57 : 1,218.83 = 402.23 : x
  2. Step 2: Convert to fraction form
    813.57/1,218.83 = 402.23/x
  3. Step 3: Cross multiply
    813.57x = 1,218.83 × 402.23
  4. Step 4: Simplify right side
    813.57x = 490,241.89
  5. Step 5: Solve for x
    x = 490,241.89/813.57
  6. Step 6: Final answer
    x = 602.58

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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.