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Finding the Fourth Proportional to 1,155.88, 1,734.12 and 334.22

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Solution

The fourth proportional to 1,155.88, 1,734.12 and 334.22 is: 501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.88 : 1,734.12 = 334.22 : x
  2. Step 2: Convert to fraction form
    1,155.88/1,734.12 = 334.22/x
  3. Step 3: Cross multiply
    1,155.88x = 1,734.12 × 334.22
  4. Step 4: Simplify right side
    1,155.88x = 579,577.59
  5. Step 5: Solve for x
    x = 579,577.59/1,155.88
  6. Step 6: Final answer
    x = 501.42

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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.