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Finding the Fourth Proportional to 1,111.97, 1,534.14 and 713.60

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Solution

The fourth proportional to 1,111.97, 1,534.14 and 713.60 is: 984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.97 : 1,534.14 = 713.60 : x
  2. Step 2: Convert to fraction form
    1,111.97/1,534.14 = 713.60/x
  3. Step 3: Cross multiply
    1,111.97x = 1,534.14 × 713.60
  4. Step 4: Simplify right side
    1,111.97x = 1,094,754.63
  5. Step 5: Solve for x
    x = 1,094,754.63/1,111.97
  6. Step 6: Final answer
    x = 984.52

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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.