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Finding the Fourth Proportional to 782.69, 1,175.48 and 685.49

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Solution

The fourth proportional to 782.69, 1,175.48 and 685.49 is: 1,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.69 : 1,175.48 = 685.49 : x
  2. Step 2: Convert to fraction form
    782.69/1,175.48 = 685.49/x
  3. Step 3: Cross multiply
    782.69x = 1,175.48 × 685.49
  4. Step 4: Simplify right side
    782.69x = 805,776.36
  5. Step 5: Solve for x
    x = 805,776.36/782.69
  6. Step 6: Final answer
    x = 1,029.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.