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Finding the Fourth Proportional to 984.69, 1,357.61 and 807

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Solution

The fourth proportional to 984.69, 1,357.61 and 807 is: 1,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.69 : 1,357.61 = 807 : x
  2. Step 2: Convert to fraction form
    984.69/1,357.61 = 807/x
  3. Step 3: Cross multiply
    984.69x = 1,357.61 × 807
  4. Step 4: Simplify right side
    984.69x = 1,095,591.27
  5. Step 5: Solve for x
    x = 1,095,591.27/984.69
  6. Step 6: Final answer
    x = 1,112.63

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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.