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Finding the Fourth Proportional to 1,033.98, 1,427.59 and 685.26

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Solution

The fourth proportional to 1,033.98, 1,427.59 and 685.26 is: 946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.98 : 1,427.59 = 685.26 : x
  2. Step 2: Convert to fraction form
    1,033.98/1,427.59 = 685.26/x
  3. Step 3: Cross multiply
    1,033.98x = 1,427.59 × 685.26
  4. Step 4: Simplify right side
    1,033.98x = 978,270.32
  5. Step 5: Solve for x
    x = 978,270.32/1,033.98
  6. Step 6: Final answer
    x = 946.12

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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.