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Finding the Fourth Proportional to 1,101.33, 1,519.02 and 707.67

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Solution

The fourth proportional to 1,101.33, 1,519.02 and 707.67 is: 976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.33 : 1,519.02 = 707.67 : x
  2. Step 2: Convert to fraction form
    1,101.33/1,519.02 = 707.67/x
  3. Step 3: Cross multiply
    1,101.33x = 1,519.02 × 707.67
  4. Step 4: Simplify right side
    1,101.33x = 1,074,964.88
  5. Step 5: Solve for x
    x = 1,074,964.88/1,101.33
  6. Step 6: Final answer
    x = 976.06

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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.