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Finding the Fourth Proportional to 835.84, 1,151.17 and 784.81

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Solution

The fourth proportional to 835.84, 1,151.17 and 784.81 is: 1,080.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.84 : 1,151.17 = 784.81 : x
  2. Step 2: Convert to fraction form
    835.84/1,151.17 = 784.81/x
  3. Step 3: Cross multiply
    835.84x = 1,151.17 × 784.81
  4. Step 4: Simplify right side
    835.84x = 903,449.73
  5. Step 5: Solve for x
    x = 903,449.73/835.84
  6. Step 6: Final answer
    x = 1,080.89

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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.