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Finding the Fourth Proportional to 820.89, 1,132.83 and 447.86

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Solution

The fourth proportional to 820.89, 1,132.83 and 447.86 is: 618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.89 : 1,132.83 = 447.86 : x
  2. Step 2: Convert to fraction form
    820.89/1,132.83 = 447.86/x
  3. Step 3: Cross multiply
    820.89x = 1,132.83 × 447.86
  4. Step 4: Simplify right side
    820.89x = 507,349.24
  5. Step 5: Solve for x
    x = 507,349.24/820.89
  6. Step 6: Final answer
    x = 618.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.