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Finding the Fourth Proportional to 1,212.41, 1,674.49 and 818.75

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Solution

The fourth proportional to 1,212.41, 1,674.49 and 818.75 is: 1,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.41 : 1,674.49 = 818.75 : x
  2. Step 2: Convert to fraction form
    1,212.41/1,674.49 = 818.75/x
  3. Step 3: Cross multiply
    1,212.41x = 1,674.49 × 818.75
  4. Step 4: Simplify right side
    1,212.41x = 1,370,988.69
  5. Step 5: Solve for x
    x = 1,370,988.69/1,212.41
  6. Step 6: Final answer
    x = 1,130.80

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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.