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Finding the Fourth Proportional to 919.20, 1,376.64 and 712.12

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Solution

The fourth proportional to 919.20, 1,376.64 and 712.12 is: 1,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.20 : 1,376.64 = 712.12 : x
  2. Step 2: Convert to fraction form
    919.20/1,376.64 = 712.12/x
  3. Step 3: Cross multiply
    919.20x = 1,376.64 × 712.12
  4. Step 4: Simplify right side
    919.20x = 980,332.88
  5. Step 5: Solve for x
    x = 980,332.88/919.20
  6. Step 6: Final answer
    x = 1,066.51

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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.