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Finding the Fourth Proportional to 821.06, 1,229.96 and 497.06

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Solution

The fourth proportional to 821.06, 1,229.96 and 497.06 is: 744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.06 : 1,229.96 = 497.06 : x
  2. Step 2: Convert to fraction form
    821.06/1,229.96 = 497.06/x
  3. Step 3: Cross multiply
    821.06x = 1,229.96 × 497.06
  4. Step 4: Simplify right side
    821.06x = 611,359.01
  5. Step 5: Solve for x
    x = 611,359.01/821.06
  6. Step 6: Final answer
    x = 744.60

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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.