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Finding the Fourth Proportional to 958.16, 1,435.86 and 546.44

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Solution

The fourth proportional to 958.16, 1,435.86 and 546.44 is: 818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.16 : 1,435.86 = 546.44 : x
  2. Step 2: Convert to fraction form
    958.16/1,435.86 = 546.44/x
  3. Step 3: Cross multiply
    958.16x = 1,435.86 × 546.44
  4. Step 4: Simplify right side
    958.16x = 784,611.34
  5. Step 5: Solve for x
    x = 784,611.34/958.16
  6. Step 6: Final answer
    x = 818.87

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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.