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Finding the Fourth Proportional to 564.26, 842.45 and 487.14

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Solution

The fourth proportional to 564.26, 842.45 and 487.14 is: 727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.26 : 842.45 = 487.14 : x
  2. Step 2: Convert to fraction form
    564.26/842.45 = 487.14/x
  3. Step 3: Cross multiply
    564.26x = 842.45 × 487.14
  4. Step 4: Simplify right side
    564.26x = 410,391.09
  5. Step 5: Solve for x
    x = 410,391.09/564.26
  6. Step 6: Final answer
    x = 727.31

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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.