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Finding the Fourth Proportional to 566.84, 782.20 and 330.79

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Solution

The fourth proportional to 566.84, 782.20 and 330.79 is: 456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.84 : 782.20 = 330.79 : x
  2. Step 2: Convert to fraction form
    566.84/782.20 = 330.79/x
  3. Step 3: Cross multiply
    566.84x = 782.20 × 330.79
  4. Step 4: Simplify right side
    566.84x = 258,743.94
  5. Step 5: Solve for x
    x = 258,743.94/566.84
  6. Step 6: Final answer
    x = 456.47

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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.