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Finding the Fourth Proportional to 1,269.41, 1,904.42 and 611.33

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Solution

The fourth proportional to 1,269.41, 1,904.42 and 611.33 is: 917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.41 : 1,904.42 = 611.33 : x
  2. Step 2: Convert to fraction form
    1,269.41/1,904.42 = 611.33/x
  3. Step 3: Cross multiply
    1,269.41x = 1,904.42 × 611.33
  4. Step 4: Simplify right side
    1,269.41x = 1,164,221.08
  5. Step 5: Solve for x
    x = 1,164,221.08/1,269.41
  6. Step 6: Final answer
    x = 917.14

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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.