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Finding the Fourth Proportional to 772.72, 1,159.29 and 599.56

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Solution

The fourth proportional to 772.72, 1,159.29 and 599.56 is: 899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.72 : 1,159.29 = 599.56 : x
  2. Step 2: Convert to fraction form
    772.72/1,159.29 = 599.56/x
  3. Step 3: Cross multiply
    772.72x = 1,159.29 × 599.56
  4. Step 4: Simplify right side
    772.72x = 695,063.91
  5. Step 5: Solve for x
    x = 695,063.91/772.72
  6. Step 6: Final answer
    x = 899.50

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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.