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Finding the Fourth Proportional to 1,345.73, 1,857.60 and 1,205.60

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Solution

The fourth proportional to 1,345.73, 1,857.60 and 1,205.60 is: 1,664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.73 : 1,857.60 = 1,205.60 : x
  2. Step 2: Convert to fraction form
    1,345.73/1,857.60 = 1,205.60/x
  3. Step 3: Cross multiply
    1,345.73x = 1,857.60 × 1,205.60
  4. Step 4: Simplify right side
    1,345.73x = 2,239,522.56
  5. Step 5: Solve for x
    x = 2,239,522.56/1,345.73
  6. Step 6: Final answer
    x = 1,664.17

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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.