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Finding the Fourth Proportional to 859.09, 1,185.84 and 638.77

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Solution

The fourth proportional to 859.09, 1,185.84 and 638.77 is: 881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.09 : 1,185.84 = 638.77 : x
  2. Step 2: Convert to fraction form
    859.09/1,185.84 = 638.77/x
  3. Step 3: Cross multiply
    859.09x = 1,185.84 × 638.77
  4. Step 4: Simplify right side
    859.09x = 757,479.02
  5. Step 5: Solve for x
    x = 757,479.02/859.09
  6. Step 6: Final answer
    x = 881.72

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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.