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Finding the Fourth Proportional to 693.43, 1,039.46 and 446.48

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Solution

The fourth proportional to 693.43, 1,039.46 and 446.48 is: 669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.43 : 1,039.46 = 446.48 : x
  2. Step 2: Convert to fraction form
    693.43/1,039.46 = 446.48/x
  3. Step 3: Cross multiply
    693.43x = 1,039.46 × 446.48
  4. Step 4: Simplify right side
    693.43x = 464,094.57
  5. Step 5: Solve for x
    x = 464,094.57/693.43
  6. Step 6: Final answer
    x = 669.28

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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.