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Finding the Fourth Proportional to 958.25, 1,437.10 and 437.98

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Solution

The fourth proportional to 958.25, 1,437.10 and 437.98 is: 656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.25 : 1,437.10 = 437.98 : x
  2. Step 2: Convert to fraction form
    958.25/1,437.10 = 437.98/x
  3. Step 3: Cross multiply
    958.25x = 1,437.10 × 437.98
  4. Step 4: Simplify right side
    958.25x = 629,411.68
  5. Step 5: Solve for x
    x = 629,411.68/958.25
  6. Step 6: Final answer
    x = 656.83

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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.