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Finding the Fourth Proportional to 572.21, 789.64 and 310.22

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Solution

The fourth proportional to 572.21, 789.64 and 310.22 is: 428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.21 : 789.64 = 310.22 : x
  2. Step 2: Convert to fraction form
    572.21/789.64 = 310.22/x
  3. Step 3: Cross multiply
    572.21x = 789.64 × 310.22
  4. Step 4: Simplify right side
    572.21x = 244,961.52
  5. Step 5: Solve for x
    x = 244,961.52/572.21
  6. Step 6: Final answer
    x = 428.10

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1.5x scale

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.