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Finding the Fourth Proportional to 958.64, 1,323.14 and 678.58

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Solution

The fourth proportional to 958.64, 1,323.14 and 678.58 is: 936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.64 : 1,323.14 = 678.58 : x
  2. Step 2: Convert to fraction form
    958.64/1,323.14 = 678.58/x
  3. Step 3: Cross multiply
    958.64x = 1,323.14 × 678.58
  4. Step 4: Simplify right side
    958.64x = 897,849.64
  5. Step 5: Solve for x
    x = 897,849.64/958.64
  6. Step 6: Final answer
    x = 936.59

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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.