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Finding the Fourth Proportional to 1,005.96, 1,509 and 275.61

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Solution

The fourth proportional to 1,005.96, 1,509 and 275.61 is: 413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.96 : 1,509 = 275.61 : x
  2. Step 2: Convert to fraction form
    1,005.96/1,509 = 275.61/x
  3. Step 3: Cross multiply
    1,005.96x = 1,509 × 275.61
  4. Step 4: Simplify right side
    1,005.96x = 415,895.49
  5. Step 5: Solve for x
    x = 415,895.49/1,005.96
  6. Step 6: Final answer
    x = 413.43

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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.