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Finding the Fourth Proportional to 1,093.51, 1,509.36 and 668.29

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Solution

The fourth proportional to 1,093.51, 1,509.36 and 668.29 is: 922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.51 : 1,509.36 = 668.29 : x
  2. Step 2: Convert to fraction form
    1,093.51/1,509.36 = 668.29/x
  3. Step 3: Cross multiply
    1,093.51x = 1,509.36 × 668.29
  4. Step 4: Simplify right side
    1,093.51x = 1,008,690.19
  5. Step 5: Solve for x
    x = 1,008,690.19/1,093.51
  6. Step 6: Final answer
    x = 922.43

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Why These Related Problems?

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