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Finding the Fourth Proportional to 958.40, 1,323.36 and 664.64

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Solution

The fourth proportional to 958.40, 1,323.36 and 664.64 is: 917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.40 : 1,323.36 = 664.64 : x
  2. Step 2: Convert to fraction form
    958.40/1,323.36 = 664.64/x
  3. Step 3: Cross multiply
    958.40x = 1,323.36 × 664.64
  4. Step 4: Simplify right side
    958.40x = 879,557.99
  5. Step 5: Solve for x
    x = 879,557.99/958.40
  6. Step 6: Final answer
    x = 917.74

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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.