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Finding the Fourth Proportional to 958.51, 1,321.24 and 678.15

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Solution

The fourth proportional to 958.51, 1,321.24 and 678.15 is: 934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.51 : 1,321.24 = 678.15 : x
  2. Step 2: Convert to fraction form
    958.51/1,321.24 = 678.15/x
  3. Step 3: Cross multiply
    958.51x = 1,321.24 × 678.15
  4. Step 4: Simplify right side
    958.51x = 895,998.91
  5. Step 5: Solve for x
    x = 895,998.91/958.51
  6. Step 6: Final answer
    x = 934.78

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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.