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Finding the Fourth Proportional to 1,437.05, 1,980.87 and 1,201.77

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Solution

The fourth proportional to 1,437.05, 1,980.87 and 1,201.77 is: 1,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.05 : 1,980.87 = 1,201.77 : x
  2. Step 2: Convert to fraction form
    1,437.05/1,980.87 = 1,201.77/x
  3. Step 3: Cross multiply
    1,437.05x = 1,980.87 × 1,201.77
  4. Step 4: Simplify right side
    1,437.05x = 2,380,554.65
  5. Step 5: Solve for x
    x = 2,380,554.65/1,437.05
  6. Step 6: Final answer
    x = 1,656.56

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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.