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Finding the Fourth Proportional to 782.67, 1,083.20 and 672.51

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Solution

The fourth proportional to 782.67, 1,083.20 and 672.51 is: 930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.67 : 1,083.20 = 672.51 : x
  2. Step 2: Convert to fraction form
    782.67/1,083.20 = 672.51/x
  3. Step 3: Cross multiply
    782.67x = 1,083.20 × 672.51
  4. Step 4: Simplify right side
    782.67x = 728,459.47
  5. Step 5: Solve for x
    x = 728,459.47/782.67
  6. Step 6: Final answer
    x = 930.74

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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.