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Finding the Fourth Proportional to 822.65, 1,234.18 and 579.65

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Solution

The fourth proportional to 822.65, 1,234.18 and 579.65 is: 869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.65 : 1,234.18 = 579.65 : x
  2. Step 2: Convert to fraction form
    822.65/1,234.18 = 579.65/x
  3. Step 3: Cross multiply
    822.65x = 1,234.18 × 579.65
  4. Step 4: Simplify right side
    822.65x = 715,392.44
  5. Step 5: Solve for x
    x = 715,392.44/822.65
  6. Step 6: Final answer
    x = 869.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.