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Finding the Fourth Proportional to 782.65, 1,173.97 and 205.53

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Solution

The fourth proportional to 782.65, 1,173.97 and 205.53 is: 308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.65 : 1,173.97 = 205.53 : x
  2. Step 2: Convert to fraction form
    782.65/1,173.97 = 205.53/x
  3. Step 3: Cross multiply
    782.65x = 1,173.97 × 205.53
  4. Step 4: Simplify right side
    782.65x = 241,281.91
  5. Step 5: Solve for x
    x = 241,281.91/782.65
  6. Step 6: Final answer
    x = 308.29

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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.