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Finding the Fourth Proportional to 920.56, 1,379.48 and 433.48

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Solution

The fourth proportional to 920.56, 1,379.48 and 433.48 is: 649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.56 : 1,379.48 = 433.48 : x
  2. Step 2: Convert to fraction form
    920.56/1,379.48 = 433.48/x
  3. Step 3: Cross multiply
    920.56x = 1,379.48 × 433.48
  4. Step 4: Simplify right side
    920.56x = 597,976.99
  5. Step 5: Solve for x
    x = 597,976.99/920.56
  6. Step 6: Final answer
    x = 649.58

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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.