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Finding the Fourth Proportional to 1,152.21, 1,728.32 and 640.29

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Solution

The fourth proportional to 1,152.21, 1,728.32 and 640.29 is: 960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.21 : 1,728.32 = 640.29 : x
  2. Step 2: Convert to fraction form
    1,152.21/1,728.32 = 640.29/x
  3. Step 3: Cross multiply
    1,152.21x = 1,728.32 × 640.29
  4. Step 4: Simplify right side
    1,152.21x = 1,106,622.81
  5. Step 5: Solve for x
    x = 1,106,622.81/1,152.21
  6. Step 6: Final answer
    x = 960.44

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Why These Related Problems?

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