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Finding the Fourth Proportional to 813.42, 1,220.22 and 350.88

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Solution

The fourth proportional to 813.42, 1,220.22 and 350.88 is: 526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.42 : 1,220.22 = 350.88 : x
  2. Step 2: Convert to fraction form
    813.42/1,220.22 = 350.88/x
  3. Step 3: Cross multiply
    813.42x = 1,220.22 × 350.88
  4. Step 4: Simplify right side
    813.42x = 428,150.79
  5. Step 5: Solve for x
    x = 428,150.79/813.42
  6. Step 6: Final answer
    x = 526.36

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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.