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Finding the Fourth Proportional to 1,485.23, 2,230.11 and 1,257.11

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Solution

The fourth proportional to 1,485.23, 2,230.11 and 1,257.11 is: 1,887.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.23 : 2,230.11 = 1,257.11 : x
  2. Step 2: Convert to fraction form
    1,485.23/2,230.11 = 1,257.11/x
  3. Step 3: Cross multiply
    1,485.23x = 2,230.11 × 1,257.11
  4. Step 4: Simplify right side
    1,485.23x = 2,803,493.58
  5. Step 5: Solve for x
    x = 2,803,493.58/1,485.23
  6. Step 6: Final answer
    x = 1,887.58

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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.