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Finding the Fourth Proportional to 1,209.38, 1,668.56 and 711.84

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Solution

The fourth proportional to 1,209.38, 1,668.56 and 711.84 is: 982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.38 : 1,668.56 = 711.84 : x
  2. Step 2: Convert to fraction form
    1,209.38/1,668.56 = 711.84/x
  3. Step 3: Cross multiply
    1,209.38x = 1,668.56 × 711.84
  4. Step 4: Simplify right side
    1,209.38x = 1,187,747.75
  5. Step 5: Solve for x
    x = 1,187,747.75/1,209.38
  6. Step 6: Final answer
    x = 982.11

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Half scale
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Double scale
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1.5x scale

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.