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Finding the Fourth Proportional to 833.59, 1,150.91 and 539.29

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Solution

The fourth proportional to 833.59, 1,150.91 and 539.29 is: 744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.59 : 1,150.91 = 539.29 : x
  2. Step 2: Convert to fraction form
    833.59/1,150.91 = 539.29/x
  3. Step 3: Cross multiply
    833.59x = 1,150.91 × 539.29
  4. Step 4: Simplify right side
    833.59x = 620,674.25
  5. Step 5: Solve for x
    x = 620,674.25/833.59
  6. Step 6: Final answer
    x = 744.58

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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.