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Finding the Fourth Proportional to 1,199.18, 1,654.86 and 675.21

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Solution

The fourth proportional to 1,199.18, 1,654.86 and 675.21 is: 931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.18 : 1,654.86 = 675.21 : x
  2. Step 2: Convert to fraction form
    1,199.18/1,654.86 = 675.21/x
  3. Step 3: Cross multiply
    1,199.18x = 1,654.86 × 675.21
  4. Step 4: Simplify right side
    1,199.18x = 1,117,378.02
  5. Step 5: Solve for x
    x = 1,117,378.02/1,199.18
  6. Step 6: Final answer
    x = 931.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.