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Finding the Fourth Proportional to 948.69, 1,414.83 and 866.67

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Solution

The fourth proportional to 948.69, 1,414.83 and 866.67 is: 1,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.69 : 1,414.83 = 866.67 : x
  2. Step 2: Convert to fraction form
    948.69/1,414.83 = 866.67/x
  3. Step 3: Cross multiply
    948.69x = 1,414.83 × 866.67
  4. Step 4: Simplify right side
    948.69x = 1,226,190.72
  5. Step 5: Solve for x
    x = 1,226,190.72/948.69
  6. Step 6: Final answer
    x = 1,292.51

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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.