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Finding the Fourth Proportional to 573.21, 789.78 and 446.40

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Solution

The fourth proportional to 573.21, 789.78 and 446.40 is: 615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.21 : 789.78 = 446.40 : x
  2. Step 2: Convert to fraction form
    573.21/789.78 = 446.40/x
  3. Step 3: Cross multiply
    573.21x = 789.78 × 446.40
  4. Step 4: Simplify right side
    573.21x = 352,557.79
  5. Step 5: Solve for x
    x = 352,557.79/573.21
  6. Step 6: Final answer
    x = 615.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.