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Finding the Fourth Proportional to 696, 1,043.58 and 285.33

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Solution

The fourth proportional to 696, 1,043.58 and 285.33 is: 427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    696 : 1,043.58 = 285.33 : x
  2. Step 2: Convert to fraction form
    696/1,043.58 = 285.33/x
  3. Step 3: Cross multiply
    696x = 1,043.58 × 285.33
  4. Step 4: Simplify right side
    696x = 297,764.68
  5. Step 5: Solve for x
    x = 297,764.68/696
  6. Step 6: Final answer
    x = 427.82

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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.