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Finding the Fourth Proportional to 1,211.58, 1,816.88 and 518.58

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Solution

The fourth proportional to 1,211.58, 1,816.88 and 518.58 is: 777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.58 : 1,816.88 = 518.58 : x
  2. Step 2: Convert to fraction form
    1,211.58/1,816.88 = 518.58/x
  3. Step 3: Cross multiply
    1,211.58x = 1,816.88 × 518.58
  4. Step 4: Simplify right side
    1,211.58x = 942,197.63
  5. Step 5: Solve for x
    x = 942,197.63/1,211.58
  6. Step 6: Final answer
    x = 777.66

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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.