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Finding the Fourth Proportional to 1,323.57, 1,984.68 and 664.74

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Solution

The fourth proportional to 1,323.57, 1,984.68 and 664.74 is: 996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.57 : 1,984.68 = 664.74 : x
  2. Step 2: Convert to fraction form
    1,323.57/1,984.68 = 664.74/x
  3. Step 3: Cross multiply
    1,323.57x = 1,984.68 × 664.74
  4. Step 4: Simplify right side
    1,323.57x = 1,319,296.18
  5. Step 5: Solve for x
    x = 1,319,296.18/1,323.57
  6. Step 6: Final answer
    x = 996.77

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1.5x scale

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.