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Finding the Fourth Proportional to 1,406.49, 2,107.90 and 756.46

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Solution

The fourth proportional to 1,406.49, 2,107.90 and 756.46 is: 1,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.49 : 2,107.90 = 756.46 : x
  2. Step 2: Convert to fraction form
    1,406.49/2,107.90 = 756.46/x
  3. Step 3: Cross multiply
    1,406.49x = 2,107.90 × 756.46
  4. Step 4: Simplify right side
    1,406.49x = 1,594,542.03
  5. Step 5: Solve for x
    x = 1,594,542.03/1,406.49
  6. Step 6: Final answer
    x = 1,133.70

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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.