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Finding the Fourth Proportional to 1,407.92, 1,943.01 and 935.01

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Solution

The fourth proportional to 1,407.92, 1,943.01 and 935.01 is: 1,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.92 : 1,943.01 = 935.01 : x
  2. Step 2: Convert to fraction form
    1,407.92/1,943.01 = 935.01/x
  3. Step 3: Cross multiply
    1,407.92x = 1,943.01 × 935.01
  4. Step 4: Simplify right side
    1,407.92x = 1,816,733.78
  5. Step 5: Solve for x
    x = 1,816,733.78/1,407.92
  6. Step 6: Final answer
    x = 1,290.37

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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.