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Finding the Fourth Proportional to 958.19, 1,435.59 and 682.85

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Solution

The fourth proportional to 958.19, 1,435.59 and 682.85 is: 1,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.19 : 1,435.59 = 682.85 : x
  2. Step 2: Convert to fraction form
    958.19/1,435.59 = 682.85/x
  3. Step 3: Cross multiply
    958.19x = 1,435.59 × 682.85
  4. Step 4: Simplify right side
    958.19x = 980,296.22
  5. Step 5: Solve for x
    x = 980,296.22/958.19
  6. Step 6: Final answer
    x = 1,023.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.