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Finding the Fourth Proportional to 1,157.37, 1,736.19 and 670.56

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Solution

The fourth proportional to 1,157.37, 1,736.19 and 670.56 is: 1,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.37 : 1,736.19 = 670.56 : x
  2. Step 2: Convert to fraction form
    1,157.37/1,736.19 = 670.56/x
  3. Step 3: Cross multiply
    1,157.37x = 1,736.19 × 670.56
  4. Step 4: Simplify right side
    1,157.37x = 1,164,219.57
  5. Step 5: Solve for x
    x = 1,164,219.57/1,157.37
  6. Step 6: Final answer
    x = 1,005.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.