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Finding the Fourth Proportional to 1,100.12, 1,656.71 and 957.56

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Solution

The fourth proportional to 1,100.12, 1,656.71 and 957.56 is: 1,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.12 : 1,656.71 = 957.56 : x
  2. Step 2: Convert to fraction form
    1,100.12/1,656.71 = 957.56/x
  3. Step 3: Cross multiply
    1,100.12x = 1,656.71 × 957.56
  4. Step 4: Simplify right side
    1,100.12x = 1,586,399.23
  5. Step 5: Solve for x
    x = 1,586,399.23/1,100.12
  6. Step 6: Final answer
    x = 1,442.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.