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Finding the Fourth Proportional to 968.95, 1,446.39 and 896.67

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Solution

The fourth proportional to 968.95, 1,446.39 and 896.67 is: 1,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.95 : 1,446.39 = 896.67 : x
  2. Step 2: Convert to fraction form
    968.95/1,446.39 = 896.67/x
  3. Step 3: Cross multiply
    968.95x = 1,446.39 × 896.67
  4. Step 4: Simplify right side
    968.95x = 1,296,934.52
  5. Step 5: Solve for x
    x = 1,296,934.52/968.95
  6. Step 6: Final answer
    x = 1,338.50

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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.