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Finding the Fourth Proportional to 1,216.05, 1,821.33 and 728.07

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Solution

The fourth proportional to 1,216.05, 1,821.33 and 728.07 is: 1,090.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.05 : 1,821.33 = 728.07 : x
  2. Step 2: Convert to fraction form
    1,216.05/1,821.33 = 728.07/x
  3. Step 3: Cross multiply
    1,216.05x = 1,821.33 × 728.07
  4. Step 4: Simplify right side
    1,216.05x = 1,326,055.73
  5. Step 5: Solve for x
    x = 1,326,055.73/1,216.05
  6. Step 6: Final answer
    x = 1,090.46

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1.5x scale

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.