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Finding the Fourth Proportional to 919.60, 1,377 and 533.20

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Solution

The fourth proportional to 919.60, 1,377 and 533.20 is: 798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.60 : 1,377 = 533.20 : x
  2. Step 2: Convert to fraction form
    919.60/1,377 = 533.20/x
  3. Step 3: Cross multiply
    919.60x = 1,377 × 533.20
  4. Step 4: Simplify right side
    919.60x = 734,216.40
  5. Step 5: Solve for x
    x = 734,216.40/919.60
  6. Step 6: Final answer
    x = 798.41

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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.