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Finding the Fourth Proportional to 820.86, 1,229.34 and 473.47

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Solution

The fourth proportional to 820.86, 1,229.34 and 473.47 is: 709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.86 : 1,229.34 = 473.47 : x
  2. Step 2: Convert to fraction form
    820.86/1,229.34 = 473.47/x
  3. Step 3: Cross multiply
    820.86x = 1,229.34 × 473.47
  4. Step 4: Simplify right side
    820.86x = 582,053.24
  5. Step 5: Solve for x
    x = 582,053.24/820.86
  6. Step 6: Final answer
    x = 709.08

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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.