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Finding the Fourth Proportional to 1,405.65, 1,944.63 and 1,231.50

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Solution

The fourth proportional to 1,405.65, 1,944.63 and 1,231.50 is: 1,703.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.65 : 1,944.63 = 1,231.50 : x
  2. Step 2: Convert to fraction form
    1,405.65/1,944.63 = 1,231.50/x
  3. Step 3: Cross multiply
    1,405.65x = 1,944.63 × 1,231.50
  4. Step 4: Simplify right side
    1,405.65x = 2,394,811.85
  5. Step 5: Solve for x
    x = 2,394,811.85/1,405.65
  6. Step 6: Final answer
    x = 1,703.70

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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.