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Finding the Fourth Proportional to 930.60, 1,396.11 and 314.27

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Solution

The fourth proportional to 930.60, 1,396.11 and 314.27 is: 471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.60 : 1,396.11 = 314.27 : x
  2. Step 2: Convert to fraction form
    930.60/1,396.11 = 314.27/x
  3. Step 3: Cross multiply
    930.60x = 1,396.11 × 314.27
  4. Step 4: Simplify right side
    930.60x = 438,748.51
  5. Step 5: Solve for x
    x = 438,748.51/930.60
  6. Step 6: Final answer
    x = 471.47

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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.