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Finding the Fourth Proportional to 564.61, 777.43 and 494.27

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Solution

The fourth proportional to 564.61, 777.43 and 494.27 is: 680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.61 : 777.43 = 494.27 : x
  2. Step 2: Convert to fraction form
    564.61/777.43 = 494.27/x
  3. Step 3: Cross multiply
    564.61x = 777.43 × 494.27
  4. Step 4: Simplify right side
    564.61x = 384,262.62
  5. Step 5: Solve for x
    x = 384,262.62/564.61
  6. Step 6: Final answer
    x = 680.58

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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.