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Finding the Fourth Proportional to 958.05, 1,321.10 and 709.85

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Solution

The fourth proportional to 958.05, 1,321.10 and 709.85 is: 978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.05 : 1,321.10 = 709.85 : x
  2. Step 2: Convert to fraction form
    958.05/1,321.10 = 709.85/x
  3. Step 3: Cross multiply
    958.05x = 1,321.10 × 709.85
  4. Step 4: Simplify right side
    958.05x = 937,782.84
  5. Step 5: Solve for x
    x = 937,782.84/958.05
  6. Step 6: Final answer
    x = 978.85

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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.