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Finding the Fourth Proportional to 843.85, 1,264.35 and 599.16

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Solution

The fourth proportional to 843.85, 1,264.35 and 599.16 is: 897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.85 : 1,264.35 = 599.16 : x
  2. Step 2: Convert to fraction form
    843.85/1,264.35 = 599.16/x
  3. Step 3: Cross multiply
    843.85x = 1,264.35 × 599.16
  4. Step 4: Simplify right side
    843.85x = 757,544.79
  5. Step 5: Solve for x
    x = 757,544.79/843.85
  6. Step 6: Final answer
    x = 897.73

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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.