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Finding the Fourth Proportional to 1,109.58, 1,530.51 and 667.62

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Solution

The fourth proportional to 1,109.58, 1,530.51 and 667.62 is: 920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.58 : 1,530.51 = 667.62 : x
  2. Step 2: Convert to fraction form
    1,109.58/1,530.51 = 667.62/x
  3. Step 3: Cross multiply
    1,109.58x = 1,530.51 × 667.62
  4. Step 4: Simplify right side
    1,109.58x = 1,021,799.09
  5. Step 5: Solve for x
    x = 1,021,799.09/1,109.58
  6. Step 6: Final answer
    x = 920.89

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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.