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Finding the Fourth Proportional to 690.43, 1,033.74 and 446.23

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Solution

The fourth proportional to 690.43, 1,033.74 and 446.23 is: 668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.43 : 1,033.74 = 446.23 : x
  2. Step 2: Convert to fraction form
    690.43/1,033.74 = 446.23/x
  3. Step 3: Cross multiply
    690.43x = 1,033.74 × 446.23
  4. Step 4: Simplify right side
    690.43x = 461,285.80
  5. Step 5: Solve for x
    x = 461,285.80/690.43
  6. Step 6: Final answer
    x = 668.11

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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.