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Finding the Fourth Proportional to 1,406.90, 1,939.70 and 908.66

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Solution

The fourth proportional to 1,406.90, 1,939.70 and 908.66 is: 1,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.90 : 1,939.70 = 908.66 : x
  2. Step 2: Convert to fraction form
    1,406.90/1,939.70 = 908.66/x
  3. Step 3: Cross multiply
    1,406.90x = 1,939.70 × 908.66
  4. Step 4: Simplify right side
    1,406.90x = 1,762,527.80
  5. Step 5: Solve for x
    x = 1,762,527.80/1,406.90
  6. Step 6: Final answer
    x = 1,252.77

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1.5x scale

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.