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Finding the Fourth Proportional to 1,112.19, 1,534.08 and 713.94

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Solution

The fourth proportional to 1,112.19, 1,534.08 and 713.94 is: 984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.19 : 1,534.08 = 713.94 : x
  2. Step 2: Convert to fraction form
    1,112.19/1,534.08 = 713.94/x
  3. Step 3: Cross multiply
    1,112.19x = 1,534.08 × 713.94
  4. Step 4: Simplify right side
    1,112.19x = 1,095,241.08
  5. Step 5: Solve for x
    x = 1,095,241.08/1,112.19
  6. Step 6: Final answer
    x = 984.76

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1.5x scale

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.