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Finding the Fourth Proportional to 920.44, 1,379.37 and 509.77

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Solution

The fourth proportional to 920.44, 1,379.37 and 509.77 is: 763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.44 : 1,379.37 = 509.77 : x
  2. Step 2: Convert to fraction form
    920.44/1,379.37 = 509.77/x
  3. Step 3: Cross multiply
    920.44x = 1,379.37 × 509.77
  4. Step 4: Simplify right side
    920.44x = 703,161.44
  5. Step 5: Solve for x
    x = 703,161.44/920.44
  6. Step 6: Final answer
    x = 763.94

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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.