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Finding the Fourth Proportional to 1,264.41, 1,743.93 and 910.85

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Solution

The fourth proportional to 1,264.41, 1,743.93 and 910.85 is: 1,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.41 : 1,743.93 = 910.85 : x
  2. Step 2: Convert to fraction form
    1,264.41/1,743.93 = 910.85/x
  3. Step 3: Cross multiply
    1,264.41x = 1,743.93 × 910.85
  4. Step 4: Simplify right side
    1,264.41x = 1,588,449.92
  5. Step 5: Solve for x
    x = 1,588,449.92/1,264.41
  6. Step 6: Final answer
    x = 1,256.28

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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.