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Finding the Fourth Proportional to 910.29, 1,255.73 and 599.25

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Solution

The fourth proportional to 910.29, 1,255.73 and 599.25 is: 826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.29 : 1,255.73 = 599.25 : x
  2. Step 2: Convert to fraction form
    910.29/1,255.73 = 599.25/x
  3. Step 3: Cross multiply
    910.29x = 1,255.73 × 599.25
  4. Step 4: Simplify right side
    910.29x = 752,493.21
  5. Step 5: Solve for x
    x = 752,493.21/910.29
  6. Step 6: Final answer
    x = 826.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.