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Finding the Fourth Proportional to 1,111.26, 1,533.66 and 713.35

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Solution

The fourth proportional to 1,111.26, 1,533.66 and 713.35 is: 984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.26 : 1,533.66 = 713.35 : x
  2. Step 2: Convert to fraction form
    1,111.26/1,533.66 = 713.35/x
  3. Step 3: Cross multiply
    1,111.26x = 1,533.66 × 713.35
  4. Step 4: Simplify right side
    1,111.26x = 1,094,036.36
  5. Step 5: Solve for x
    x = 1,094,036.36/1,111.26
  6. Step 6: Final answer
    x = 984.50

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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.