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Finding the Fourth Proportional to 1,332.80, 1,999.04 and 409.00

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Solution

The fourth proportional to 1,332.80, 1,999.04 and 409.00 is: 613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.80 : 1,999.04 = 409.00 : x
  2. Step 2: Convert to fraction form
    1,332.80/1,999.04 = 409.00/x
  3. Step 3: Cross multiply
    1,332.80x = 1,999.04 × 409.00
  4. Step 4: Simplify right side
    1,332.80x = 817,597.36
  5. Step 5: Solve for x
    x = 817,597.36/1,332.80
  6. Step 6: Final answer
    x = 613.44

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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.