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Finding the Fourth Proportional to 833.06, 1,247.16 and 749.22

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Solution

The fourth proportional to 833.06, 1,247.16 and 749.22 is: 1,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.06 : 1,247.16 = 749.22 : x
  2. Step 2: Convert to fraction form
    833.06/1,247.16 = 749.22/x
  3. Step 3: Cross multiply
    833.06x = 1,247.16 × 749.22
  4. Step 4: Simplify right side
    833.06x = 934,397.22
  5. Step 5: Solve for x
    x = 934,397.22/833.06
  6. Step 6: Final answer
    x = 1,121.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.