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Finding the Fourth Proportional to 829.32, 1,143.54 and 689

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Solution

The fourth proportional to 829.32, 1,143.54 and 689 is: 950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.32 : 1,143.54 = 689 : x
  2. Step 2: Convert to fraction form
    829.32/1,143.54 = 689/x
  3. Step 3: Cross multiply
    829.32x = 1,143.54 × 689
  4. Step 4: Simplify right side
    829.32x = 787,899.06
  5. Step 5: Solve for x
    x = 787,899.06/829.32
  6. Step 6: Final answer
    x = 950.05

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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.