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Finding the Fourth Proportional to 919.61, 1,378.07 and 725.08

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Solution

The fourth proportional to 919.61, 1,378.07 and 725.08 is: 1,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.61 : 1,378.07 = 725.08 : x
  2. Step 2: Convert to fraction form
    919.61/1,378.07 = 725.08/x
  3. Step 3: Cross multiply
    919.61x = 1,378.07 × 725.08
  4. Step 4: Simplify right side
    919.61x = 999,200.48
  5. Step 5: Solve for x
    x = 999,200.48/919.61
  6. Step 6: Final answer
    x = 1,086.55

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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.