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Finding the Fourth Proportional to 818.57, 1,227.35 and 407.50

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Solution

The fourth proportional to 818.57, 1,227.35 and 407.50 is: 610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.57 : 1,227.35 = 407.50 : x
  2. Step 2: Convert to fraction form
    818.57/1,227.35 = 407.50/x
  3. Step 3: Cross multiply
    818.57x = 1,227.35 × 407.50
  4. Step 4: Simplify right side
    818.57x = 500,143.08
  5. Step 5: Solve for x
    x = 500,143.08/818.57
  6. Step 6: Final answer
    x = 610.99

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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.