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Finding the Fourth Proportional to 981.76, 1,355.22 and 733.48

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Solution

The fourth proportional to 981.76, 1,355.22 and 733.48 is: 1,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.76 : 1,355.22 = 733.48 : x
  2. Step 2: Convert to fraction form
    981.76/1,355.22 = 733.48/x
  3. Step 3: Cross multiply
    981.76x = 1,355.22 × 733.48
  4. Step 4: Simplify right side
    981.76x = 994,026.77
  5. Step 5: Solve for x
    x = 994,026.77/981.76
  6. Step 6: Final answer
    x = 1,012.49

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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.