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Finding the Fourth Proportional to 1,109.44, 1,530.96 and 667.48

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Solution

The fourth proportional to 1,109.44, 1,530.96 and 667.48 is: 921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.44 : 1,530.96 = 667.48 : x
  2. Step 2: Convert to fraction form
    1,109.44/1,530.96 = 667.48/x
  3. Step 3: Cross multiply
    1,109.44x = 1,530.96 × 667.48
  4. Step 4: Simplify right side
    1,109.44x = 1,021,885.18
  5. Step 5: Solve for x
    x = 1,021,885.18/1,109.44
  6. Step 6: Final answer
    x = 921.08

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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.