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Finding the Fourth Proportional to 1,643.81, 2,268.43 and 897.77

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Solution

The fourth proportional to 1,643.81, 2,268.43 and 897.77 is: 1,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.81 : 2,268.43 = 897.77 : x
  2. Step 2: Convert to fraction form
    1,643.81/2,268.43 = 897.77/x
  3. Step 3: Cross multiply
    1,643.81x = 2,268.43 × 897.77
  4. Step 4: Simplify right side
    1,643.81x = 2,036,531.83
  5. Step 5: Solve for x
    x = 2,036,531.83/1,643.81
  6. Step 6: Final answer
    x = 1,238.91

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1.5x scale

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.