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Finding the Fourth Proportional to 820.08, 1,229.82 and 357.57

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Solution

The fourth proportional to 820.08, 1,229.82 and 357.57 is: 536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.08 : 1,229.82 = 357.57 : x
  2. Step 2: Convert to fraction form
    820.08/1,229.82 = 357.57/x
  3. Step 3: Cross multiply
    820.08x = 1,229.82 × 357.57
  4. Step 4: Simplify right side
    820.08x = 439,746.74
  5. Step 5: Solve for x
    x = 439,746.74/820.08
  6. Step 6: Final answer
    x = 536.22

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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.