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Finding the Fourth Proportional to 833.43, 1,150.57 and 538.86

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Solution

The fourth proportional to 833.43, 1,150.57 and 538.86 is: 743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.43 : 1,150.57 = 538.86 : x
  2. Step 2: Convert to fraction form
    833.43/1,150.57 = 538.86/x
  3. Step 3: Cross multiply
    833.43x = 1,150.57 × 538.86
  4. Step 4: Simplify right side
    833.43x = 619,993.46
  5. Step 5: Solve for x
    x = 619,993.46/833.43
  6. Step 6: Final answer
    x = 743.91

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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.