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Finding the Fourth Proportional to 1,442.80, 1,999.66 and 1,297

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Solution

The fourth proportional to 1,442.80, 1,999.66 and 1,297 is: 1,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.80 : 1,999.66 = 1,297 : x
  2. Step 2: Convert to fraction form
    1,442.80/1,999.66 = 1,297/x
  3. Step 3: Cross multiply
    1,442.80x = 1,999.66 × 1,297
  4. Step 4: Simplify right side
    1,442.80x = 2,593,559.02
  5. Step 5: Solve for x
    x = 2,593,559.02/1,442.80
  6. Step 6: Final answer
    x = 1,797.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.