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Finding the Fourth Proportional to 782.65, 1,080.21 and 503.24

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Solution

The fourth proportional to 782.65, 1,080.21 and 503.24 is: 694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.65 : 1,080.21 = 503.24 : x
  2. Step 2: Convert to fraction form
    782.65/1,080.21 = 503.24/x
  3. Step 3: Cross multiply
    782.65x = 1,080.21 × 503.24
  4. Step 4: Simplify right side
    782.65x = 543,604.88
  5. Step 5: Solve for x
    x = 543,604.88/782.65
  6. Step 6: Final answer
    x = 694.57

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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.