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Finding the Fourth Proportional to 958.86, 1,438.42 and 471.92

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Solution

The fourth proportional to 958.86, 1,438.42 and 471.92 is: 707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.86 : 1,438.42 = 471.92 : x
  2. Step 2: Convert to fraction form
    958.86/1,438.42 = 471.92/x
  3. Step 3: Cross multiply
    958.86x = 1,438.42 × 471.92
  4. Step 4: Simplify right side
    958.86x = 678,819.17
  5. Step 5: Solve for x
    x = 678,819.17/958.86
  6. Step 6: Final answer
    x = 707.94

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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.