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Finding the Fourth Proportional to 809.61, 1,213.94 and 579.98

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Solution

The fourth proportional to 809.61, 1,213.94 and 579.98 is: 869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.61 : 1,213.94 = 579.98 : x
  2. Step 2: Convert to fraction form
    809.61/1,213.94 = 579.98/x
  3. Step 3: Cross multiply
    809.61x = 1,213.94 × 579.98
  4. Step 4: Simplify right side
    809.61x = 704,051.95
  5. Step 5: Solve for x
    x = 704,051.95/809.61
  6. Step 6: Final answer
    x = 869.62

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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.