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Finding the Fourth Proportional to 821.13, 1,133.25 and 489.54

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Solution

The fourth proportional to 821.13, 1,133.25 and 489.54 is: 675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.13 : 1,133.25 = 489.54 : x
  2. Step 2: Convert to fraction form
    821.13/1,133.25 = 489.54/x
  3. Step 3: Cross multiply
    821.13x = 1,133.25 × 489.54
  4. Step 4: Simplify right side
    821.13x = 554,771.21
  5. Step 5: Solve for x
    x = 554,771.21/821.13
  6. Step 6: Final answer
    x = 675.62

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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.