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Finding the Fourth Proportional to 782.17, 1,078.90 and 467.21

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Solution

The fourth proportional to 782.17, 1,078.90 and 467.21 is: 644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.17 : 1,078.90 = 467.21 : x
  2. Step 2: Convert to fraction form
    782.17/1,078.90 = 467.21/x
  3. Step 3: Cross multiply
    782.17x = 1,078.90 × 467.21
  4. Step 4: Simplify right side
    782.17x = 504,074.40
  5. Step 5: Solve for x
    x = 504,074.40/782.17
  6. Step 6: Final answer
    x = 644.46

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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.