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Finding the Fourth Proportional to 1,109.38, 1,530.45 and 643.36

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Solution

The fourth proportional to 1,109.38, 1,530.45 and 643.36 is: 887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.38 : 1,530.45 = 643.36 : x
  2. Step 2: Convert to fraction form
    1,109.38/1,530.45 = 643.36/x
  3. Step 3: Cross multiply
    1,109.38x = 1,530.45 × 643.36
  4. Step 4: Simplify right side
    1,109.38x = 984,630.31
  5. Step 5: Solve for x
    x = 984,630.31/1,109.38
  6. Step 6: Final answer
    x = 887.55

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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.