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Finding the Fourth Proportional to 1,323.99, 1,982.89 and 776.55

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Solution

The fourth proportional to 1,323.99, 1,982.89 and 776.55 is: 1,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.99 : 1,982.89 = 776.55 : x
  2. Step 2: Convert to fraction form
    1,323.99/1,982.89 = 776.55/x
  3. Step 3: Cross multiply
    1,323.99x = 1,982.89 × 776.55
  4. Step 4: Simplify right side
    1,323.99x = 1,539,813.23
  5. Step 5: Solve for x
    x = 1,539,813.23/1,323.99
  6. Step 6: Final answer
    x = 1,163.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.