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Finding the Fourth Proportional to 1,207.61, 1,811.93 and 818.05

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Solution

The fourth proportional to 1,207.61, 1,811.93 and 818.05 is: 1,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.61 : 1,811.93 = 818.05 : x
  2. Step 2: Convert to fraction form
    1,207.61/1,811.93 = 818.05/x
  3. Step 3: Cross multiply
    1,207.61x = 1,811.93 × 818.05
  4. Step 4: Simplify right side
    1,207.61x = 1,482,249.34
  5. Step 5: Solve for x
    x = 1,482,249.34/1,207.61
  6. Step 6: Final answer
    x = 1,227.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.