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Finding the Fourth Proportional to 835.35, 1,150.08 and 687.72

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Solution

The fourth proportional to 835.35, 1,150.08 and 687.72 is: 946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.35 : 1,150.08 = 687.72 : x
  2. Step 2: Convert to fraction form
    835.35/1,150.08 = 687.72/x
  3. Step 3: Cross multiply
    835.35x = 1,150.08 × 687.72
  4. Step 4: Simplify right side
    835.35x = 790,933.02
  5. Step 5: Solve for x
    x = 790,933.02/835.35
  6. Step 6: Final answer
    x = 946.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.