Home / 1,405.14-2,106.69-711.49

Finding the Fourth Proportional to 1,405.14, 2,106.69 and 711.49

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Solution

The fourth proportional to 1,405.14, 2,106.69 and 711.49 is: 1,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.14 : 2,106.69 = 711.49 : x
  2. Step 2: Convert to fraction form
    1,405.14/2,106.69 = 711.49/x
  3. Step 3: Cross multiply
    1,405.14x = 2,106.69 × 711.49
  4. Step 4: Simplify right side
    1,405.14x = 1,498,888.87
  5. Step 5: Solve for x
    x = 1,498,888.87/1,405.14
  6. Step 6: Final answer
    x = 1,066.72

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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.