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Finding the Fourth Proportional to 566.81, 783.14 and 504.09

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Solution

The fourth proportional to 566.81, 783.14 and 504.09 is: 696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.81 : 783.14 = 504.09 : x
  2. Step 2: Convert to fraction form
    566.81/783.14 = 504.09/x
  3. Step 3: Cross multiply
    566.81x = 783.14 × 504.09
  4. Step 4: Simplify right side
    566.81x = 394,771.37
  5. Step 5: Solve for x
    x = 394,771.37/566.81
  6. Step 6: Final answer
    x = 696.48

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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.