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Finding the Fourth Proportional to 1,337.77, 2,005.92 and 413.07

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Solution

The fourth proportional to 1,337.77, 2,005.92 and 413.07 is: 619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.77 : 2,005.92 = 413.07 : x
  2. Step 2: Convert to fraction form
    1,337.77/2,005.92 = 413.07/x
  3. Step 3: Cross multiply
    1,337.77x = 2,005.92 × 413.07
  4. Step 4: Simplify right side
    1,337.77x = 828,585.37
  5. Step 5: Solve for x
    x = 828,585.37/1,337.77
  6. Step 6: Final answer
    x = 619.38

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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.