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Finding the Fourth Proportional to 833.06, 1,147.11 and 722.54

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Solution

The fourth proportional to 833.06, 1,147.11 and 722.54 is: 994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.06 : 1,147.11 = 722.54 : x
  2. Step 2: Convert to fraction form
    833.06/1,147.11 = 722.54/x
  3. Step 3: Cross multiply
    833.06x = 1,147.11 × 722.54
  4. Step 4: Simplify right side
    833.06x = 828,832.86
  5. Step 5: Solve for x
    x = 828,832.86/833.06
  6. Step 6: Final answer
    x = 994.93

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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.