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Finding the Fourth Proportional to 1,323.02, 1,978.70 and 1,177.80

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Solution

The fourth proportional to 1,323.02, 1,978.70 and 1,177.80 is: 1,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.02 : 1,978.70 = 1,177.80 : x
  2. Step 2: Convert to fraction form
    1,323.02/1,978.70 = 1,177.80/x
  3. Step 3: Cross multiply
    1,323.02x = 1,978.70 × 1,177.80
  4. Step 4: Simplify right side
    1,323.02x = 2,330,512.86
  5. Step 5: Solve for x
    x = 2,330,512.86/1,323.02
  6. Step 6: Final answer
    x = 1,761.51

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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.