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Finding the Fourth Proportional to 1,406.87, 2,110.12 and 366.95

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Solution

The fourth proportional to 1,406.87, 2,110.12 and 366.95 is: 550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.87 : 2,110.12 = 366.95 : x
  2. Step 2: Convert to fraction form
    1,406.87/2,110.12 = 366.95/x
  3. Step 3: Cross multiply
    1,406.87x = 2,110.12 × 366.95
  4. Step 4: Simplify right side
    1,406.87x = 774,301.02
  5. Step 5: Solve for x
    x = 774,301.02/1,406.87
  6. Step 6: Final answer
    x = 550.37

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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.