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Finding the Fourth Proportional to 1,322.43, 1,980.40 and 888.27

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Solution

The fourth proportional to 1,322.43, 1,980.40 and 888.27 is: 1,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.43 : 1,980.40 = 888.27 : x
  2. Step 2: Convert to fraction form
    1,322.43/1,980.40 = 888.27/x
  3. Step 3: Cross multiply
    1,322.43x = 1,980.40 × 888.27
  4. Step 4: Simplify right side
    1,322.43x = 1,759,129.91
  5. Step 5: Solve for x
    x = 1,759,129.91/1,322.43
  6. Step 6: Final answer
    x = 1,330.23

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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.