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Finding the Fourth Proportional to 1,643.49, 2,268.03 and 897.47

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Solution

The fourth proportional to 1,643.49, 2,268.03 and 897.47 is: 1,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.49 : 2,268.03 = 897.47 : x
  2. Step 2: Convert to fraction form
    1,643.49/2,268.03 = 897.47/x
  3. Step 3: Cross multiply
    1,643.49x = 2,268.03 × 897.47
  4. Step 4: Simplify right side
    1,643.49x = 2,035,489.41
  5. Step 5: Solve for x
    x = 2,035,489.41/1,643.49
  6. Step 6: Final answer
    x = 1,238.52

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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.