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Finding the Fourth Proportional to 1,289.69, 1,934.95 and 412.34

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Solution

The fourth proportional to 1,289.69, 1,934.95 and 412.34 is: 618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.69 : 1,934.95 = 412.34 : x
  2. Step 2: Convert to fraction form
    1,289.69/1,934.95 = 412.34/x
  3. Step 3: Cross multiply
    1,289.69x = 1,934.95 × 412.34
  4. Step 4: Simplify right side
    1,289.69x = 797,847.61
  5. Step 5: Solve for x
    x = 797,847.61/1,289.69
  6. Step 6: Final answer
    x = 618.64

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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.