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Finding the Fourth Proportional to 1,199.07, 1,654.82 and 675.20

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Solution

The fourth proportional to 1,199.07, 1,654.82 and 675.20 is: 931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.07 : 1,654.82 = 675.20 : x
  2. Step 2: Convert to fraction form
    1,199.07/1,654.82 = 675.20/x
  3. Step 3: Cross multiply
    1,199.07x = 1,654.82 × 675.20
  4. Step 4: Simplify right side
    1,199.07x = 1,117,322.81
  5. Step 5: Solve for x
    x = 1,117,322.81/1,199.07
  6. Step 6: Final answer
    x = 931.82

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Why These Related Problems?

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