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Finding the Fourth Proportional to 564.52, 842.23 and 505.78

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Solution

The fourth proportional to 564.52, 842.23 and 505.78 is: 754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.52 : 842.23 = 505.78 : x
  2. Step 2: Convert to fraction form
    564.52/842.23 = 505.78/x
  3. Step 3: Cross multiply
    564.52x = 842.23 × 505.78
  4. Step 4: Simplify right side
    564.52x = 425,983.09
  5. Step 5: Solve for x
    x = 425,983.09/564.52
  6. Step 6: Final answer
    x = 754.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.