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Finding the Fourth Proportional to 1,127.17, 1,553.34 and 940.06

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Solution

The fourth proportional to 1,127.17, 1,553.34 and 940.06 is: 1,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.17 : 1,553.34 = 940.06 : x
  2. Step 2: Convert to fraction form
    1,127.17/1,553.34 = 940.06/x
  3. Step 3: Cross multiply
    1,127.17x = 1,553.34 × 940.06
  4. Step 4: Simplify right side
    1,127.17x = 1,460,232.80
  5. Step 5: Solve for x
    x = 1,460,232.80/1,127.17
  6. Step 6: Final answer
    x = 1,295.49

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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.