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Finding the Fourth Proportional to 1,109.28, 1,530.72 and 643.44

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Solution

The fourth proportional to 1,109.28, 1,530.72 and 643.44 is: 887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.28 : 1,530.72 = 643.44 : x
  2. Step 2: Convert to fraction form
    1,109.28/1,530.72 = 643.44/x
  3. Step 3: Cross multiply
    1,109.28x = 1,530.72 × 643.44
  4. Step 4: Simplify right side
    1,109.28x = 984,926.48
  5. Step 5: Solve for x
    x = 984,926.48/1,109.28
  6. Step 6: Final answer
    x = 887.90

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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.