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Finding the Fourth Proportional to 859.86, 1,278.73 and 832.52

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Solution

The fourth proportional to 859.86, 1,278.73 and 832.52 is: 1,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.86 : 1,278.73 = 832.52 : x
  2. Step 2: Convert to fraction form
    859.86/1,278.73 = 832.52/x
  3. Step 3: Cross multiply
    859.86x = 1,278.73 × 832.52
  4. Step 4: Simplify right side
    859.86x = 1,064,568.30
  5. Step 5: Solve for x
    x = 1,064,568.30/859.86
  6. Step 6: Final answer
    x = 1,238.07

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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.