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Finding the Fourth Proportional to 1,193.29, 1,648.00 and 821.23

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Solution

The fourth proportional to 1,193.29, 1,648.00 and 821.23 is: 1,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.29 : 1,648.00 = 821.23 : x
  2. Step 2: Convert to fraction form
    1,193.29/1,648.00 = 821.23/x
  3. Step 3: Cross multiply
    1,193.29x = 1,648.00 × 821.23
  4. Step 4: Simplify right side
    1,193.29x = 1,353,387.05
  5. Step 5: Solve for x
    x = 1,353,387.05/1,193.29
  6. Step 6: Final answer
    x = 1,134.16

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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.