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Finding the Fourth Proportional to 1,160.88, 1,741.49 and 339.05

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Solution

The fourth proportional to 1,160.88, 1,741.49 and 339.05 is: 508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.88 : 1,741.49 = 339.05 : x
  2. Step 2: Convert to fraction form
    1,160.88/1,741.49 = 339.05/x
  3. Step 3: Cross multiply
    1,160.88x = 1,741.49 × 339.05
  4. Step 4: Simplify right side
    1,160.88x = 590,452.18
  5. Step 5: Solve for x
    x = 590,452.18/1,160.88
  6. Step 6: Final answer
    x = 508.62

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Double scale
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1.5x scale

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.