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Finding the Fourth Proportional to 734.56, 1,106.44 and 670.04

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Solution

The fourth proportional to 734.56, 1,106.44 and 670.04 is: 1,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.56 : 1,106.44 = 670.04 : x
  2. Step 2: Convert to fraction form
    734.56/1,106.44 = 670.04/x
  3. Step 3: Cross multiply
    734.56x = 1,106.44 × 670.04
  4. Step 4: Simplify right side
    734.56x = 741,359.06
  5. Step 5: Solve for x
    x = 741,359.06/734.56
  6. Step 6: Final answer
    x = 1,009.26

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Why These Related Problems?

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