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Finding the Fourth Proportional to 782.31, 1,079.82 and 617.28

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Solution

The fourth proportional to 782.31, 1,079.82 and 617.28 is: 852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.31 : 1,079.82 = 617.28 : x
  2. Step 2: Convert to fraction form
    782.31/1,079.82 = 617.28/x
  3. Step 3: Cross multiply
    782.31x = 1,079.82 × 617.28
  4. Step 4: Simplify right side
    782.31x = 666,551.29
  5. Step 5: Solve for x
    x = 666,551.29/782.31
  6. Step 6: Final answer
    x = 852.03

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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.