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Finding the Fourth Proportional to 821.06, 1,133.02 and 489.52

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Solution

The fourth proportional to 821.06, 1,133.02 and 489.52 is: 675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.06 : 1,133.02 = 489.52 : x
  2. Step 2: Convert to fraction form
    821.06/1,133.02 = 489.52/x
  3. Step 3: Cross multiply
    821.06x = 1,133.02 × 489.52
  4. Step 4: Simplify right side
    821.06x = 554,635.95
  5. Step 5: Solve for x
    x = 554,635.95/821.06
  6. Step 6: Final answer
    x = 675.51

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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.