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Finding the Fourth Proportional to 825.89, 1,140.21 and 511.57

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Solution

The fourth proportional to 825.89, 1,140.21 and 511.57 is: 706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.89 : 1,140.21 = 511.57 : x
  2. Step 2: Convert to fraction form
    825.89/1,140.21 = 511.57/x
  3. Step 3: Cross multiply
    825.89x = 1,140.21 × 511.57
  4. Step 4: Simplify right side
    825.89x = 583,300.57
  5. Step 5: Solve for x
    x = 583,300.57/825.89
  6. Step 6: Final answer
    x = 706.27

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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.