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Finding the Fourth Proportional to 920.03, 1,379.78 and 342.77

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Solution

The fourth proportional to 920.03, 1,379.78 and 342.77 is: 514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.03 : 1,379.78 = 342.77 : x
  2. Step 2: Convert to fraction form
    920.03/1,379.78 = 342.77/x
  3. Step 3: Cross multiply
    920.03x = 1,379.78 × 342.77
  4. Step 4: Simplify right side
    920.03x = 472,945.48
  5. Step 5: Solve for x
    x = 472,945.48/920.03
  6. Step 6: Final answer
    x = 514.05

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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.