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Finding the Fourth Proportional to 696.31, 1,043.62 and 285.23

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Solution

The fourth proportional to 696.31, 1,043.62 and 285.23 is: 427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.31 : 1,043.62 = 285.23 : x
  2. Step 2: Convert to fraction form
    696.31/1,043.62 = 285.23/x
  3. Step 3: Cross multiply
    696.31x = 1,043.62 × 285.23
  4. Step 4: Simplify right side
    696.31x = 297,671.73
  5. Step 5: Solve for x
    x = 297,671.73/696.31
  6. Step 6: Final answer
    x = 427.50

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Double scale
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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.