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Finding the Fourth Proportional to 1,407.66, 1,940.49 and 910.26

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Solution

The fourth proportional to 1,407.66, 1,940.49 and 910.26 is: 1,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.66 : 1,940.49 = 910.26 : x
  2. Step 2: Convert to fraction form
    1,407.66/1,940.49 = 910.26/x
  3. Step 3: Cross multiply
    1,407.66x = 1,940.49 × 910.26
  4. Step 4: Simplify right side
    1,407.66x = 1,766,350.43
  5. Step 5: Solve for x
    x = 1,766,350.43/1,407.66
  6. Step 6: Final answer
    x = 1,254.81

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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.