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Finding the Fourth Proportional to 1,353.26, 1,866.21 and 822.23

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Solution

The fourth proportional to 1,353.26, 1,866.21 and 822.23 is: 1,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.26 : 1,866.21 = 822.23 : x
  2. Step 2: Convert to fraction form
    1,353.26/1,866.21 = 822.23/x
  3. Step 3: Cross multiply
    1,353.26x = 1,866.21 × 822.23
  4. Step 4: Simplify right side
    1,353.26x = 1,534,458.51
  5. Step 5: Solve for x
    x = 1,534,458.51/1,353.26
  6. Step 6: Final answer
    x = 1,133.89

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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.