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Finding the Fourth Proportional to 825.55, 1,140.26 and 639.65

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Solution

The fourth proportional to 825.55, 1,140.26 and 639.65 is: 883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.55 : 1,140.26 = 639.65 : x
  2. Step 2: Convert to fraction form
    825.55/1,140.26 = 639.65/x
  3. Step 3: Cross multiply
    825.55x = 1,140.26 × 639.65
  4. Step 4: Simplify right side
    825.55x = 729,366.96
  5. Step 5: Solve for x
    x = 729,366.96/825.55
  6. Step 6: Final answer
    x = 883.49

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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.