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Finding the Fourth Proportional to 958.29, 1,322.34 and 678.68

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Solution

The fourth proportional to 958.29, 1,322.34 and 678.68 is: 936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.29 : 1,322.34 = 678.68 : x
  2. Step 2: Convert to fraction form
    958.29/1,322.34 = 678.68/x
  3. Step 3: Cross multiply
    958.29x = 1,322.34 × 678.68
  4. Step 4: Simplify right side
    958.29x = 897,445.71
  5. Step 5: Solve for x
    x = 897,445.71/958.29
  6. Step 6: Final answer
    x = 936.51

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1.5x scale

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.