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Finding the Fourth Proportional to 818.71, 1,226.75 and 407.43

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Solution

The fourth proportional to 818.71, 1,226.75 and 407.43 is: 610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.71 : 1,226.75 = 407.43 : x
  2. Step 2: Convert to fraction form
    818.71/1,226.75 = 407.43/x
  3. Step 3: Cross multiply
    818.71x = 1,226.75 × 407.43
  4. Step 4: Simplify right side
    818.71x = 499,812.72
  5. Step 5: Solve for x
    x = 499,812.72/818.71
  6. Step 6: Final answer
    x = 610.49

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Double scale
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1.5x scale

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.