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Finding the Fourth Proportional to 733.61, 1,096.46 and 640.32

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Solution

The fourth proportional to 733.61, 1,096.46 and 640.32 is: 957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.61 : 1,096.46 = 640.32 : x
  2. Step 2: Convert to fraction form
    733.61/1,096.46 = 640.32/x
  3. Step 3: Cross multiply
    733.61x = 1,096.46 × 640.32
  4. Step 4: Simplify right side
    733.61x = 702,082.07
  5. Step 5: Solve for x
    x = 702,082.07/733.61
  6. Step 6: Final answer
    x = 957.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.