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Finding the Fourth Proportional to 1,314.95, 1,968.31 and 968.67

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Solution

The fourth proportional to 1,314.95, 1,968.31 and 968.67 is: 1,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.95 : 1,968.31 = 968.67 : x
  2. Step 2: Convert to fraction form
    1,314.95/1,968.31 = 968.67/x
  3. Step 3: Cross multiply
    1,314.95x = 1,968.31 × 968.67
  4. Step 4: Simplify right side
    1,314.95x = 1,906,640.43
  5. Step 5: Solve for x
    x = 1,906,640.43/1,314.95
  6. Step 6: Final answer
    x = 1,449.98

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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.