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Finding the Fourth Proportional to 958.19, 1,436.20 and 471.58

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Solution

The fourth proportional to 958.19, 1,436.20 and 471.58 is: 706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.19 : 1,436.20 = 471.58 : x
  2. Step 2: Convert to fraction form
    958.19/1,436.20 = 471.58/x
  3. Step 3: Cross multiply
    958.19x = 1,436.20 × 471.58
  4. Step 4: Simplify right side
    958.19x = 677,278.43
  5. Step 5: Solve for x
    x = 677,278.43/958.19
  6. Step 6: Final answer
    x = 706.83

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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.