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Finding the Fourth Proportional to 566.82, 782.16 and 318.11

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Solution

The fourth proportional to 566.82, 782.16 and 318.11 is: 438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.82 : 782.16 = 318.11 : x
  2. Step 2: Convert to fraction form
    566.82/782.16 = 318.11/x
  3. Step 3: Cross multiply
    566.82x = 782.16 × 318.11
  4. Step 4: Simplify right side
    566.82x = 248,810.20
  5. Step 5: Solve for x
    x = 248,810.20/566.82
  6. Step 6: Final answer
    x = 438.96

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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.