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Finding the Fourth Proportional to 566.89, 782.31 and 330.82

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Solution

The fourth proportional to 566.89, 782.31 and 330.82 is: 456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.89 : 782.31 = 330.82 : x
  2. Step 2: Convert to fraction form
    566.89/782.31 = 330.82/x
  3. Step 3: Cross multiply
    566.89x = 782.31 × 330.82
  4. Step 4: Simplify right side
    566.89x = 258,804.52
  5. Step 5: Solve for x
    x = 258,804.52/566.89
  6. Step 6: Final answer
    x = 456.53

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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.