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Finding the Fourth Proportional to 566.81, 782.15 and 318.09

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Solution

The fourth proportional to 566.81, 782.15 and 318.09 is: 438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.81 : 782.15 = 318.09 : x
  2. Step 2: Convert to fraction form
    566.81/782.15 = 318.09/x
  3. Step 3: Cross multiply
    566.81x = 782.15 × 318.09
  4. Step 4: Simplify right side
    566.81x = 248,794.09
  5. Step 5: Solve for x
    x = 248,794.09/566.81
  6. Step 6: Final answer
    x = 438.94

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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.