Home / 1,378.32-2,066.20-512.40

Finding the Fourth Proportional to 1,378.32, 2,066.20 and 512.40

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Solution

The fourth proportional to 1,378.32, 2,066.20 and 512.40 is: 768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.32 : 2,066.20 = 512.40 : x
  2. Step 2: Convert to fraction form
    1,378.32/2,066.20 = 512.40/x
  3. Step 3: Cross multiply
    1,378.32x = 2,066.20 × 512.40
  4. Step 4: Simplify right side
    1,378.32x = 1,058,720.88
  5. Step 5: Solve for x
    x = 1,058,720.88/1,378.32
  6. Step 6: Final answer
    x = 768.12

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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.