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Finding the Fourth Proportional to 930.97, 1,396.55 and 314.87

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Solution

The fourth proportional to 930.97, 1,396.55 and 314.87 is: 472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.97 : 1,396.55 = 314.87 : x
  2. Step 2: Convert to fraction form
    930.97/1,396.55 = 314.87/x
  3. Step 3: Cross multiply
    930.97x = 1,396.55 × 314.87
  4. Step 4: Simplify right side
    930.97x = 439,723.14
  5. Step 5: Solve for x
    x = 439,723.14/930.97
  6. Step 6: Final answer
    x = 472.33

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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.