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Finding the Fourth Proportional to 1,488.63, 2,054.31 and 867.63

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Solution

The fourth proportional to 1,488.63, 2,054.31 and 867.63 is: 1,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.63 : 2,054.31 = 867.63 : x
  2. Step 2: Convert to fraction form
    1,488.63/2,054.31 = 867.63/x
  3. Step 3: Cross multiply
    1,488.63x = 2,054.31 × 867.63
  4. Step 4: Simplify right side
    1,488.63x = 1,782,380.99
  5. Step 5: Solve for x
    x = 1,782,380.99/1,488.63
  6. Step 6: Final answer
    x = 1,197.33

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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.