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Finding the Fourth Proportional to 884.46, 1,222.98 and 746.28

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Solution

The fourth proportional to 884.46, 1,222.98 and 746.28 is: 1,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.46 : 1,222.98 = 746.28 : x
  2. Step 2: Convert to fraction form
    884.46/1,222.98 = 746.28/x
  3. Step 3: Cross multiply
    884.46x = 1,222.98 × 746.28
  4. Step 4: Simplify right side
    884.46x = 912,685.51
  5. Step 5: Solve for x
    x = 912,685.51/884.46
  6. Step 6: Final answer
    x = 1,031.91

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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.