Home / 1,370.16-2,056.39-712.44

Finding the Fourth Proportional to 1,370.16, 2,056.39 and 712.44

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Solution

The fourth proportional to 1,370.16, 2,056.39 and 712.44 is: 1,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.16 : 2,056.39 = 712.44 : x
  2. Step 2: Convert to fraction form
    1,370.16/2,056.39 = 712.44/x
  3. Step 3: Cross multiply
    1,370.16x = 2,056.39 × 712.44
  4. Step 4: Simplify right side
    1,370.16x = 1,465,054.05
  5. Step 5: Solve for x
    x = 1,465,054.05/1,370.16
  6. Step 6: Final answer
    x = 1,069.26

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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.