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Finding the Fourth Proportional to 930.81, 1,396.44 and 657.43

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Solution

The fourth proportional to 930.81, 1,396.44 and 657.43 is: 986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.81 : 1,396.44 = 657.43 : x
  2. Step 2: Convert to fraction form
    930.81/1,396.44 = 657.43/x
  3. Step 3: Cross multiply
    930.81x = 1,396.44 × 657.43
  4. Step 4: Simplify right side
    930.81x = 918,061.55
  5. Step 5: Solve for x
    x = 918,061.55/930.81
  6. Step 6: Final answer
    x = 986.30

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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.