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Finding the Fourth Proportional to 1,160.92, 1,741.62 and 380.98

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Solution

The fourth proportional to 1,160.92, 1,741.62 and 380.98 is: 571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.92 : 1,741.62 = 380.98 : x
  2. Step 2: Convert to fraction form
    1,160.92/1,741.62 = 380.98/x
  3. Step 3: Cross multiply
    1,160.92x = 1,741.62 × 380.98
  4. Step 4: Simplify right side
    1,160.92x = 663,522.39
  5. Step 5: Solve for x
    x = 663,522.39/1,160.92
  6. Step 6: Final answer
    x = 571.55

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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.