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Finding the Fourth Proportional to 1,332.04, 1,999.50 and 984.28

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Solution

The fourth proportional to 1,332.04, 1,999.50 and 984.28 is: 1,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.04 : 1,999.50 = 984.28 : x
  2. Step 2: Convert to fraction form
    1,332.04/1,999.50 = 984.28/x
  3. Step 3: Cross multiply
    1,332.04x = 1,999.50 × 984.28
  4. Step 4: Simplify right side
    1,332.04x = 1,968,067.86
  5. Step 5: Solve for x
    x = 1,968,067.86/1,332.04
  6. Step 6: Final answer
    x = 1,477.48

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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.