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Finding the Fourth Proportional to 1,289.73, 1,934.61 and 673.32

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Solution

The fourth proportional to 1,289.73, 1,934.61 and 673.32 is: 1,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.73 : 1,934.61 = 673.32 : x
  2. Step 2: Convert to fraction form
    1,289.73/1,934.61 = 673.32/x
  3. Step 3: Cross multiply
    1,289.73x = 1,934.61 × 673.32
  4. Step 4: Simplify right side
    1,289.73x = 1,302,611.61
  5. Step 5: Solve for x
    x = 1,302,611.61/1,289.73
  6. Step 6: Final answer
    x = 1,009.99

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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.