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Finding the Fourth Proportional to 572.04, 856.84 and 365.88

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Solution

The fourth proportional to 572.04, 856.84 and 365.88 is: 548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.04 : 856.84 = 365.88 : x
  2. Step 2: Convert to fraction form
    572.04/856.84 = 365.88/x
  3. Step 3: Cross multiply
    572.04x = 856.84 × 365.88
  4. Step 4: Simplify right side
    572.04x = 313,500.62
  5. Step 5: Solve for x
    x = 313,500.62/572.04
  6. Step 6: Final answer
    x = 548.04

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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.