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Finding the Fourth Proportional to 1,406.43, 1,939.77 and 909.18

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Solution

The fourth proportional to 1,406.43, 1,939.77 and 909.18 is: 1,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.43 : 1,939.77 = 909.18 : x
  2. Step 2: Convert to fraction form
    1,406.43/1,939.77 = 909.18/x
  3. Step 3: Cross multiply
    1,406.43x = 1,939.77 × 909.18
  4. Step 4: Simplify right side
    1,406.43x = 1,763,600.09
  5. Step 5: Solve for x
    x = 1,763,600.09/1,406.43
  6. Step 6: Final answer
    x = 1,253.96

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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.