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Finding the Fourth Proportional to 820.98, 1,229.63 and 709.83

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Solution

The fourth proportional to 820.98, 1,229.63 and 709.83 is: 1,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.98 : 1,229.63 = 709.83 : x
  2. Step 2: Convert to fraction form
    820.98/1,229.63 = 709.83/x
  3. Step 3: Cross multiply
    820.98x = 1,229.63 × 709.83
  4. Step 4: Simplify right side
    820.98x = 872,824.71
  5. Step 5: Solve for x
    x = 872,824.71/820.98
  6. Step 6: Final answer
    x = 1,063.15

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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.