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Finding the Fourth Proportional to 919.40, 1,375.64 and 547.83

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Solution

The fourth proportional to 919.40, 1,375.64 and 547.83 is: 819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.40 : 1,375.64 = 547.83 : x
  2. Step 2: Convert to fraction form
    919.40/1,375.64 = 547.83/x
  3. Step 3: Cross multiply
    919.40x = 1,375.64 × 547.83
  4. Step 4: Simplify right side
    919.40x = 753,614.12
  5. Step 5: Solve for x
    x = 753,614.12/919.40
  6. Step 6: Final answer
    x = 819.68

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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.