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Finding the Fourth Proportional to 1,115.67, 1,539.44 and 618.23

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Solution

The fourth proportional to 1,115.67, 1,539.44 and 618.23 is: 853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.67 : 1,539.44 = 618.23 : x
  2. Step 2: Convert to fraction form
    1,115.67/1,539.44 = 618.23/x
  3. Step 3: Cross multiply
    1,115.67x = 1,539.44 × 618.23
  4. Step 4: Simplify right side
    1,115.67x = 951,731.07
  5. Step 5: Solve for x
    x = 951,731.07/1,115.67
  6. Step 6: Final answer
    x = 853.05

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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.