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Finding the Fourth Proportional to 570.30, 856.82 and 365.27

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Solution

The fourth proportional to 570.30, 856.82 and 365.27 is: 548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.30 : 856.82 = 365.27 : x
  2. Step 2: Convert to fraction form
    570.30/856.82 = 365.27/x
  3. Step 3: Cross multiply
    570.30x = 856.82 × 365.27
  4. Step 4: Simplify right side
    570.30x = 312,967.27
  5. Step 5: Solve for x
    x = 312,967.27/570.30
  6. Step 6: Final answer
    x = 548.78

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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.