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Finding the Fourth Proportional to 958.63, 1,438.28 and 472.02

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Solution

The fourth proportional to 958.63, 1,438.28 and 472.02 is: 708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.63 : 1,438.28 = 472.02 : x
  2. Step 2: Convert to fraction form
    958.63/1,438.28 = 472.02/x
  3. Step 3: Cross multiply
    958.63x = 1,438.28 × 472.02
  4. Step 4: Simplify right side
    958.63x = 678,890.97
  5. Step 5: Solve for x
    x = 678,890.97/958.63
  6. Step 6: Final answer
    x = 708.19

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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.