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Finding the Fourth Proportional to 958.64, 1,429.62 and 835.92

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Solution

The fourth proportional to 958.64, 1,429.62 and 835.92 is: 1,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.64 : 1,429.62 = 835.92 : x
  2. Step 2: Convert to fraction form
    958.64/1,429.62 = 835.92/x
  3. Step 3: Cross multiply
    958.64x = 1,429.62 × 835.92
  4. Step 4: Simplify right side
    958.64x = 1,195,047.95
  5. Step 5: Solve for x
    x = 1,195,047.95/958.64
  6. Step 6: Final answer
    x = 1,246.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.