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Finding the Fourth Proportional to 564.39, 777.13 and 494.06

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Solution

The fourth proportional to 564.39, 777.13 and 494.06 is: 680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.39 : 777.13 = 494.06 : x
  2. Step 2: Convert to fraction form
    564.39/777.13 = 494.06/x
  3. Step 3: Cross multiply
    564.39x = 777.13 × 494.06
  4. Step 4: Simplify right side
    564.39x = 383,943.73
  5. Step 5: Solve for x
    x = 383,943.73/564.39
  6. Step 6: Final answer
    x = 680.28

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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.