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Finding the Fourth Proportional to 1,653.89, 2,481.18 and 559.03

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Solution

The fourth proportional to 1,653.89, 2,481.18 and 559.03 is: 838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.89 : 2,481.18 = 559.03 : x
  2. Step 2: Convert to fraction form
    1,653.89/2,481.18 = 559.03/x
  3. Step 3: Cross multiply
    1,653.89x = 2,481.18 × 559.03
  4. Step 4: Simplify right side
    1,653.89x = 1,387,054.06
  5. Step 5: Solve for x
    x = 1,387,054.06/1,653.89
  6. Step 6: Final answer
    x = 838.66

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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.