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Finding the Fourth Proportional to 1,005.71, 1,508.63 and 275.36

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Solution

The fourth proportional to 1,005.71, 1,508.63 and 275.36 is: 413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.71 : 1,508.63 = 275.36 : x
  2. Step 2: Convert to fraction form
    1,005.71/1,508.63 = 275.36/x
  3. Step 3: Cross multiply
    1,005.71x = 1,508.63 × 275.36
  4. Step 4: Simplify right side
    1,005.71x = 415,407.44
  5. Step 5: Solve for x
    x = 415,407.44/1,005.71
  6. Step 6: Final answer
    x = 413.05

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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.