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Finding the Fourth Proportional to 1,192.60, 1,643.32 and 1,014.96

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Solution

The fourth proportional to 1,192.60, 1,643.32 and 1,014.96 is: 1,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.60 : 1,643.32 = 1,014.96 : x
  2. Step 2: Convert to fraction form
    1,192.60/1,643.32 = 1,014.96/x
  3. Step 3: Cross multiply
    1,192.60x = 1,643.32 × 1,014.96
  4. Step 4: Simplify right side
    1,192.60x = 1,667,904.07
  5. Step 5: Solve for x
    x = 1,667,904.07/1,192.60
  6. Step 6: Final answer
    x = 1,398.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.