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Finding the Fourth Proportional to 1,218.06, 1,823.31 and 985.01

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Solution

The fourth proportional to 1,218.06, 1,823.31 and 985.01 is: 1,474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.06 : 1,823.31 = 985.01 : x
  2. Step 2: Convert to fraction form
    1,218.06/1,823.31 = 985.01/x
  3. Step 3: Cross multiply
    1,218.06x = 1,823.31 × 985.01
  4. Step 4: Simplify right side
    1,218.06x = 1,795,978.58
  5. Step 5: Solve for x
    x = 1,795,978.58/1,218.06
  6. Step 6: Final answer
    x = 1,474.46

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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.