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Finding the Fourth Proportional to 1,488.56, 2,054.09 and 825.40

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Solution

The fourth proportional to 1,488.56, 2,054.09 and 825.40 is: 1,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.56 : 2,054.09 = 825.40 : x
  2. Step 2: Convert to fraction form
    1,488.56/2,054.09 = 825.40/x
  3. Step 3: Cross multiply
    1,488.56x = 2,054.09 × 825.40
  4. Step 4: Simplify right side
    1,488.56x = 1,695,435.62
  5. Step 5: Solve for x
    x = 1,695,435.62/1,488.56
  6. Step 6: Final answer
    x = 1,138.98

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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.