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Finding the Fourth Proportional to 975.66, 1,346.46 and 713.22

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Solution

The fourth proportional to 975.66, 1,346.46 and 713.22 is: 984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.66 : 1,346.46 = 713.22 : x
  2. Step 2: Convert to fraction form
    975.66/1,346.46 = 713.22/x
  3. Step 3: Cross multiply
    975.66x = 1,346.46 × 713.22
  4. Step 4: Simplify right side
    975.66x = 960,322.20
  5. Step 5: Solve for x
    x = 960,322.20/975.66
  6. Step 6: Final answer
    x = 984.28

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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.