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Finding the Fourth Proportional to 1,033.25, 1,426.25 and 684.05

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Solution

The fourth proportional to 1,033.25, 1,426.25 and 684.05 is: 944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.25 : 1,426.25 = 684.05 : x
  2. Step 2: Convert to fraction form
    1,033.25/1,426.25 = 684.05/x
  3. Step 3: Cross multiply
    1,033.25x = 1,426.25 × 684.05
  4. Step 4: Simplify right side
    1,033.25x = 975,620.89
  5. Step 5: Solve for x
    x = 975,620.89/1,033.25
  6. Step 6: Final answer
    x = 944.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.