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Finding the Fourth Proportional to 940.29, 1,298.36 and 938.23

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Solution

The fourth proportional to 940.29, 1,298.36 and 938.23 is: 1,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.29 : 1,298.36 = 938.23 : x
  2. Step 2: Convert to fraction form
    940.29/1,298.36 = 938.23/x
  3. Step 3: Cross multiply
    940.29x = 1,298.36 × 938.23
  4. Step 4: Simplify right side
    940.29x = 1,218,159.40
  5. Step 5: Solve for x
    x = 1,218,159.40/940.29
  6. Step 6: Final answer
    x = 1,295.52

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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.