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Finding the Fourth Proportional to 693.18, 1,039.22 and 446.54

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Solution

The fourth proportional to 693.18, 1,039.22 and 446.54 is: 669.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.18 : 1,039.22 = 446.54 : x
  2. Step 2: Convert to fraction form
    693.18/1,039.22 = 446.54/x
  3. Step 3: Cross multiply
    693.18x = 1,039.22 × 446.54
  4. Step 4: Simplify right side
    693.18x = 464,053.30
  5. Step 5: Solve for x
    x = 464,053.30/693.18
  6. Step 6: Final answer
    x = 669.46

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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.