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Finding the Fourth Proportional to 1,054.54, 1,583.43 and 823.96

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Solution

The fourth proportional to 1,054.54, 1,583.43 and 823.96 is: 1,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.54 : 1,583.43 = 823.96 : x
  2. Step 2: Convert to fraction form
    1,054.54/1,583.43 = 823.96/x
  3. Step 3: Cross multiply
    1,054.54x = 1,583.43 × 823.96
  4. Step 4: Simplify right side
    1,054.54x = 1,304,682.98
  5. Step 5: Solve for x
    x = 1,304,682.98/1,054.54
  6. Step 6: Final answer
    x = 1,237.21

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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.