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Finding the Fourth Proportional to 1,146.01, 1,580.33 and 1,019.57

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Solution

The fourth proportional to 1,146.01, 1,580.33 and 1,019.57 is: 1,405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.01 : 1,580.33 = 1,019.57 : x
  2. Step 2: Convert to fraction form
    1,146.01/1,580.33 = 1,019.57/x
  3. Step 3: Cross multiply
    1,146.01x = 1,580.33 × 1,019.57
  4. Step 4: Simplify right side
    1,146.01x = 1,611,257.06
  5. Step 5: Solve for x
    x = 1,611,257.06/1,146.01
  6. Step 6: Final answer
    x = 1,405.97

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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.