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Finding the Fourth Proportional to 953.96, 1,431.62 and 406.28

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Solution

The fourth proportional to 953.96, 1,431.62 and 406.28 is: 609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.96 : 1,431.62 = 406.28 : x
  2. Step 2: Convert to fraction form
    953.96/1,431.62 = 406.28/x
  3. Step 3: Cross multiply
    953.96x = 1,431.62 × 406.28
  4. Step 4: Simplify right side
    953.96x = 581,638.57
  5. Step 5: Solve for x
    x = 581,638.57/953.96
  6. Step 6: Final answer
    x = 609.71

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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.