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Finding the Fourth Proportional to 1,288.26, 1,776.15 and 895.41

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Solution

The fourth proportional to 1,288.26, 1,776.15 and 895.41 is: 1,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.26 : 1,776.15 = 895.41 : x
  2. Step 2: Convert to fraction form
    1,288.26/1,776.15 = 895.41/x
  3. Step 3: Cross multiply
    1,288.26x = 1,776.15 × 895.41
  4. Step 4: Simplify right side
    1,288.26x = 1,590,382.47
  5. Step 5: Solve for x
    x = 1,590,382.47/1,288.26
  6. Step 6: Final answer
    x = 1,234.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.