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Finding the Fourth Proportional to 896.93, 1,345.55 and 280.49

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Solution

The fourth proportional to 896.93, 1,345.55 and 280.49 is: 420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.93 : 1,345.55 = 280.49 : x
  2. Step 2: Convert to fraction form
    896.93/1,345.55 = 280.49/x
  3. Step 3: Cross multiply
    896.93x = 1,345.55 × 280.49
  4. Step 4: Simplify right side
    896.93x = 377,413.32
  5. Step 5: Solve for x
    x = 377,413.32/896.93
  6. Step 6: Final answer
    x = 420.78

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Double scale
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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.