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Finding the Fourth Proportional to 828.97, 1,237.04 and 736.93

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Solution

The fourth proportional to 828.97, 1,237.04 and 736.93 is: 1,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.97 : 1,237.04 = 736.93 : x
  2. Step 2: Convert to fraction form
    828.97/1,237.04 = 736.93/x
  3. Step 3: Cross multiply
    828.97x = 1,237.04 × 736.93
  4. Step 4: Simplify right side
    828.97x = 911,612.51
  5. Step 5: Solve for x
    x = 911,612.51/828.97
  6. Step 6: Final answer
    x = 1,099.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.