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Finding the Fourth Proportional to 1,447.77, 1,998.62 and 1,029.00

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Solution

The fourth proportional to 1,447.77, 1,998.62 and 1,029.00 is: 1,420.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.77 : 1,998.62 = 1,029.00 : x
  2. Step 2: Convert to fraction form
    1,447.77/1,998.62 = 1,029.00/x
  3. Step 3: Cross multiply
    1,447.77x = 1,998.62 × 1,029.00
  4. Step 4: Simplify right side
    1,447.77x = 2,056,591.98
  5. Step 5: Solve for x
    x = 2,056,591.98/1,447.77
  6. Step 6: Final answer
    x = 1,420.52

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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.