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Finding the Fourth Proportional to 813.76, 1,218.08 and 443.05

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Solution

The fourth proportional to 813.76, 1,218.08 and 443.05 is: 663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.76 : 1,218.08 = 443.05 : x
  2. Step 2: Convert to fraction form
    813.76/1,218.08 = 443.05/x
  3. Step 3: Cross multiply
    813.76x = 1,218.08 × 443.05
  4. Step 4: Simplify right side
    813.76x = 539,668.41
  5. Step 5: Solve for x
    x = 539,668.41/813.76
  6. Step 6: Final answer
    x = 663.18

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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.