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Finding the Fourth Proportional to 1,160.06, 1,740.11 and 380.06

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Solution

The fourth proportional to 1,160.06, 1,740.11 and 380.06 is: 570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.06 : 1,740.11 = 380.06 : x
  2. Step 2: Convert to fraction form
    1,160.06/1,740.11 = 380.06/x
  3. Step 3: Cross multiply
    1,160.06x = 1,740.11 × 380.06
  4. Step 4: Simplify right side
    1,160.06x = 661,335.61
  5. Step 5: Solve for x
    x = 661,335.61/1,160.06
  6. Step 6: Final answer
    x = 570.09

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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.