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Finding the Fourth Proportional to 958.89, 1,438.32 and 546.99

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Solution

The fourth proportional to 958.89, 1,438.32 and 546.99 is: 820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.89 : 1,438.32 = 546.99 : x
  2. Step 2: Convert to fraction form
    958.89/1,438.32 = 546.99/x
  3. Step 3: Cross multiply
    958.89x = 1,438.32 × 546.99
  4. Step 4: Simplify right side
    958.89x = 786,746.66
  5. Step 5: Solve for x
    x = 786,746.66/958.89
  6. Step 6: Final answer
    x = 820.48

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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.