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Finding the Fourth Proportional to 835.92, 1,152.61 and 625.75

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Solution

The fourth proportional to 835.92, 1,152.61 and 625.75 is: 862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.92 : 1,152.61 = 625.75 : x
  2. Step 2: Convert to fraction form
    835.92/1,152.61 = 625.75/x
  3. Step 3: Cross multiply
    835.92x = 1,152.61 × 625.75
  4. Step 4: Simplify right side
    835.92x = 721,241.26
  5. Step 5: Solve for x
    x = 721,241.26/835.92
  6. Step 6: Final answer
    x = 862.81

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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.