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Finding the Fourth Proportional to 1,172.30, 1,757.73 and 402.86

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Solution

The fourth proportional to 1,172.30, 1,757.73 and 402.86 is: 604.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.30 : 1,757.73 = 402.86 : x
  2. Step 2: Convert to fraction form
    1,172.30/1,757.73 = 402.86/x
  3. Step 3: Cross multiply
    1,172.30x = 1,757.73 × 402.86
  4. Step 4: Simplify right side
    1,172.30x = 708,119.11
  5. Step 5: Solve for x
    x = 708,119.11/1,172.30
  6. Step 6: Final answer
    x = 604.04

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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.