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Finding the Fourth Proportional to 833.92, 1,151.25 and 539.36

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Solution

The fourth proportional to 833.92, 1,151.25 and 539.36 is: 744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.92 : 1,151.25 = 539.36 : x
  2. Step 2: Convert to fraction form
    833.92/1,151.25 = 539.36/x
  3. Step 3: Cross multiply
    833.92x = 1,151.25 × 539.36
  4. Step 4: Simplify right side
    833.92x = 620,938.20
  5. Step 5: Solve for x
    x = 620,938.20/833.92
  6. Step 6: Final answer
    x = 744.60

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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.