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Finding the Fourth Proportional to 834.24, 1,150.73 and 621.38

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Solution

The fourth proportional to 834.24, 1,150.73 and 621.38 is: 857.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.24 : 1,150.73 = 621.38 : x
  2. Step 2: Convert to fraction form
    834.24/1,150.73 = 621.38/x
  3. Step 3: Cross multiply
    834.24x = 1,150.73 × 621.38
  4. Step 4: Simplify right side
    834.24x = 715,031.75
  5. Step 5: Solve for x
    x = 715,031.75/834.24
  6. Step 6: Final answer
    x = 857.11

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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.