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Finding the Fourth Proportional to 856.40, 1,186.79 and 839.99

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Solution

The fourth proportional to 856.40, 1,186.79 and 839.99 is: 1,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.40 : 1,186.79 = 839.99 : x
  2. Step 2: Convert to fraction form
    856.40/1,186.79 = 839.99/x
  3. Step 3: Cross multiply
    856.40x = 1,186.79 × 839.99
  4. Step 4: Simplify right side
    856.40x = 996,881.60
  5. Step 5: Solve for x
    x = 996,881.60/856.40
  6. Step 6: Final answer
    x = 1,164.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.