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Finding the Fourth Proportional to 818.47, 1,227.88 and 386.11

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Solution

The fourth proportional to 818.47, 1,227.88 and 386.11 is: 579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.47 : 1,227.88 = 386.11 : x
  2. Step 2: Convert to fraction form
    818.47/1,227.88 = 386.11/x
  3. Step 3: Cross multiply
    818.47x = 1,227.88 × 386.11
  4. Step 4: Simplify right side
    818.47x = 474,090.61
  5. Step 5: Solve for x
    x = 474,090.61/818.47
  6. Step 6: Final answer
    x = 579.24

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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.