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Finding the Fourth Proportional to 696.33, 1,042.47 and 623.43

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Solution

The fourth proportional to 696.33, 1,042.47 and 623.43 is: 933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.33 : 1,042.47 = 623.43 : x
  2. Step 2: Convert to fraction form
    696.33/1,042.47 = 623.43/x
  3. Step 3: Cross multiply
    696.33x = 1,042.47 × 623.43
  4. Step 4: Simplify right side
    696.33x = 649,907.07
  5. Step 5: Solve for x
    x = 649,907.07/696.33
  6. Step 6: Final answer
    x = 933.33

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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.