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Finding the Fourth Proportional to 1,353.89, 2,030.90 and 380.09

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Solution

The fourth proportional to 1,353.89, 2,030.90 and 380.09 is: 570.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.89 : 2,030.90 = 380.09 : x
  2. Step 2: Convert to fraction form
    1,353.89/2,030.90 = 380.09/x
  3. Step 3: Cross multiply
    1,353.89x = 2,030.90 × 380.09
  4. Step 4: Simplify right side
    1,353.89x = 771,924.78
  5. Step 5: Solve for x
    x = 771,924.78/1,353.89
  6. Step 6: Final answer
    x = 570.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.