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Finding the Fourth Proportional to 826.15, 1,233.94 and 747.94

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Solution

The fourth proportional to 826.15, 1,233.94 and 747.94 is: 1,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.15 : 1,233.94 = 747.94 : x
  2. Step 2: Convert to fraction form
    826.15/1,233.94 = 747.94/x
  3. Step 3: Cross multiply
    826.15x = 1,233.94 × 747.94
  4. Step 4: Simplify right side
    826.15x = 922,913.08
  5. Step 5: Solve for x
    x = 922,913.08/826.15
  6. Step 6: Final answer
    x = 1,117.13

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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.