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Finding the Fourth Proportional to 1,160.20, 1,740.62 and 338.56

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Solution

The fourth proportional to 1,160.20, 1,740.62 and 338.56 is: 507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.20 : 1,740.62 = 338.56 : x
  2. Step 2: Convert to fraction form
    1,160.20/1,740.62 = 338.56/x
  3. Step 3: Cross multiply
    1,160.20x = 1,740.62 × 338.56
  4. Step 4: Simplify right side
    1,160.20x = 589,304.31
  5. Step 5: Solve for x
    x = 589,304.31/1,160.20
  6. Step 6: Final answer
    x = 507.93

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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.