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Finding the Fourth Proportional to 693.14, 1,033 and 687.38

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Solution

The fourth proportional to 693.14, 1,033 and 687.38 is: 1,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.14 : 1,033 = 687.38 : x
  2. Step 2: Convert to fraction form
    693.14/1,033 = 687.38/x
  3. Step 3: Cross multiply
    693.14x = 1,033 × 687.38
  4. Step 4: Simplify right side
    693.14x = 710,063.54
  5. Step 5: Solve for x
    x = 710,063.54/693.14
  6. Step 6: Final answer
    x = 1,024.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.