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Finding the Fourth Proportional to 958.41, 1,321.80 and 709.32

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Solution

The fourth proportional to 958.41, 1,321.80 and 709.32 is: 978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.41 : 1,321.80 = 709.32 : x
  2. Step 2: Convert to fraction form
    958.41/1,321.80 = 709.32/x
  3. Step 3: Cross multiply
    958.41x = 1,321.80 × 709.32
  4. Step 4: Simplify right side
    958.41x = 937,579.18
  5. Step 5: Solve for x
    x = 937,579.18/958.41
  6. Step 6: Final answer
    x = 978.27

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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.