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Finding the Fourth Proportional to 820.79, 1,126.32 and 746.54

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Solution

The fourth proportional to 820.79, 1,126.32 and 746.54 is: 1,024.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.79 : 1,126.32 = 746.54 : x
  2. Step 2: Convert to fraction form
    820.79/1,126.32 = 746.54/x
  3. Step 3: Cross multiply
    820.79x = 1,126.32 × 746.54
  4. Step 4: Simplify right side
    820.79x = 840,839.20
  5. Step 5: Solve for x
    x = 840,839.20/820.79
  6. Step 6: Final answer
    x = 1,024.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.