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Finding the Fourth Proportional to 920.19, 1,379.87 and 550.16

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Solution

The fourth proportional to 920.19, 1,379.87 and 550.16 is: 824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.19 : 1,379.87 = 550.16 : x
  2. Step 2: Convert to fraction form
    920.19/1,379.87 = 550.16/x
  3. Step 3: Cross multiply
    920.19x = 1,379.87 × 550.16
  4. Step 4: Simplify right side
    920.19x = 759,146.87
  5. Step 5: Solve for x
    x = 759,146.87/920.19
  6. Step 6: Final answer
    x = 824.99

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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.