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Finding the Fourth Proportional to 1,396.50, 1,928.79 and 929.94

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Solution

The fourth proportional to 1,396.50, 1,928.79 and 929.94 is: 1,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.50 : 1,928.79 = 929.94 : x
  2. Step 2: Convert to fraction form
    1,396.50/1,928.79 = 929.94/x
  3. Step 3: Cross multiply
    1,396.50x = 1,928.79 × 929.94
  4. Step 4: Simplify right side
    1,396.50x = 1,793,658.97
  5. Step 5: Solve for x
    x = 1,793,658.97/1,396.50
  6. Step 6: Final answer
    x = 1,284.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.