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Finding the Fourth Proportional to 564.31, 779.51 and 425.48

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Solution

The fourth proportional to 564.31, 779.51 and 425.48 is: 587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.31 : 779.51 = 425.48 : x
  2. Step 2: Convert to fraction form
    564.31/779.51 = 425.48/x
  3. Step 3: Cross multiply
    564.31x = 779.51 × 425.48
  4. Step 4: Simplify right side
    564.31x = 331,665.91
  5. Step 5: Solve for x
    x = 331,665.91/564.31
  6. Step 6: Final answer
    x = 587.74

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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.