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Finding the Fourth Proportional to 566.87, 782.23 and 330.96

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Solution

The fourth proportional to 566.87, 782.23 and 330.96 is: 456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.87 : 782.23 = 330.96 : x
  2. Step 2: Convert to fraction form
    566.87/782.23 = 330.96/x
  3. Step 3: Cross multiply
    566.87x = 782.23 × 330.96
  4. Step 4: Simplify right side
    566.87x = 258,886.84
  5. Step 5: Solve for x
    x = 258,886.84/566.87
  6. Step 6: Final answer
    x = 456.70

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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.