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Finding the Fourth Proportional to 1,518.99, 2,279.21 and 825.63

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Solution

The fourth proportional to 1,518.99, 2,279.21 and 825.63 is: 1,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.99 : 2,279.21 = 825.63 : x
  2. Step 2: Convert to fraction form
    1,518.99/2,279.21 = 825.63/x
  3. Step 3: Cross multiply
    1,518.99x = 2,279.21 × 825.63
  4. Step 4: Simplify right side
    1,518.99x = 1,881,780.02
  5. Step 5: Solve for x
    x = 1,881,780.02/1,518.99
  6. Step 6: Final answer
    x = 1,238.84

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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.