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Finding the Fourth Proportional to 1,160.88, 1,741.72 and 339.27

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Solution

The fourth proportional to 1,160.88, 1,741.72 and 339.27 is: 509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.88 : 1,741.72 = 339.27 : x
  2. Step 2: Convert to fraction form
    1,160.88/1,741.72 = 339.27/x
  3. Step 3: Cross multiply
    1,160.88x = 1,741.72 × 339.27
  4. Step 4: Simplify right side
    1,160.88x = 590,915.44
  5. Step 5: Solve for x
    x = 590,915.44/1,160.88
  6. Step 6: Final answer
    x = 509.02

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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.