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Finding the Fourth Proportional to 1,180.13, 1,770.20 and 410.63

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Solution

The fourth proportional to 1,180.13, 1,770.20 and 410.63 is: 615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.13 : 1,770.20 = 410.63 : x
  2. Step 2: Convert to fraction form
    1,180.13/1,770.20 = 410.63/x
  3. Step 3: Cross multiply
    1,180.13x = 1,770.20 × 410.63
  4. Step 4: Simplify right side
    1,180.13x = 726,886.32
  5. Step 5: Solve for x
    x = 726,886.32/1,180.13
  6. Step 6: Final answer
    x = 615.94

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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.