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Finding the Fourth Proportional to 835.24, 1,253.34 and 618.04

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Solution

The fourth proportional to 835.24, 1,253.34 and 618.04 is: 927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.24 : 1,253.34 = 618.04 : x
  2. Step 2: Convert to fraction form
    835.24/1,253.34 = 618.04/x
  3. Step 3: Cross multiply
    835.24x = 1,253.34 × 618.04
  4. Step 4: Simplify right side
    835.24x = 774,614.25
  5. Step 5: Solve for x
    x = 774,614.25/835.24
  6. Step 6: Final answer
    x = 927.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.