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Finding the Fourth Proportional to 693.56, 1,035.84 and 628.43

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Solution

The fourth proportional to 693.56, 1,035.84 and 628.43 is: 938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.56 : 1,035.84 = 628.43 : x
  2. Step 2: Convert to fraction form
    693.56/1,035.84 = 628.43/x
  3. Step 3: Cross multiply
    693.56x = 1,035.84 × 628.43
  4. Step 4: Simplify right side
    693.56x = 650,952.93
  5. Step 5: Solve for x
    x = 650,952.93/693.56
  6. Step 6: Final answer
    x = 938.57

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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.