Home / 1,399.20-2,099.08-705.32

Finding the Fourth Proportional to 1,399.20, 2,099.08 and 705.32

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Solution

The fourth proportional to 1,399.20, 2,099.08 and 705.32 is: 1,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.20 : 2,099.08 = 705.32 : x
  2. Step 2: Convert to fraction form
    1,399.20/2,099.08 = 705.32/x
  3. Step 3: Cross multiply
    1,399.20x = 2,099.08 × 705.32
  4. Step 4: Simplify right side
    1,399.20x = 1,480,523.11
  5. Step 5: Solve for x
    x = 1,480,523.11/1,399.20
  6. Step 6: Final answer
    x = 1,058.12

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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.