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Finding the Fourth Proportional to 523.56, 785.17 and 215.27

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Solution

The fourth proportional to 523.56, 785.17 and 215.27 is: 322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.56 : 785.17 = 215.27 : x
  2. Step 2: Convert to fraction form
    523.56/785.17 = 215.27/x
  3. Step 3: Cross multiply
    523.56x = 785.17 × 215.27
  4. Step 4: Simplify right side
    523.56x = 169,026.64
  5. Step 5: Solve for x
    x = 169,026.64/523.56
  6. Step 6: Final answer
    x = 322.84

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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.