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Finding the Fourth Proportional to 572, 789.60 and 365.12

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Solution

The fourth proportional to 572, 789.60 and 365.12 is: 504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    572 : 789.60 = 365.12 : x
  2. Step 2: Convert to fraction form
    572/789.60 = 365.12/x
  3. Step 3: Cross multiply
    572x = 789.60 × 365.12
  4. Step 4: Simplify right side
    572x = 288,298.75
  5. Step 5: Solve for x
    x = 288,298.75/572
  6. Step 6: Final answer
    x = 504.02

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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.