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Finding the Fourth Proportional to 1,006.06, 1,508.93 and 275.69

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Solution

The fourth proportional to 1,006.06, 1,508.93 and 275.69 is: 413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.06 : 1,508.93 = 275.69 : x
  2. Step 2: Convert to fraction form
    1,006.06/1,508.93 = 275.69/x
  3. Step 3: Cross multiply
    1,006.06x = 1,508.93 × 275.69
  4. Step 4: Simplify right side
    1,006.06x = 415,996.91
  5. Step 5: Solve for x
    x = 415,996.91/1,006.06
  6. Step 6: Final answer
    x = 413.49

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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.