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Finding the Fourth Proportional to 782.31, 1,080.09 and 502.65

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Solution

The fourth proportional to 782.31, 1,080.09 and 502.65 is: 693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.31 : 1,080.09 = 502.65 : x
  2. Step 2: Convert to fraction form
    782.31/1,080.09 = 502.65/x
  3. Step 3: Cross multiply
    782.31x = 1,080.09 × 502.65
  4. Step 4: Simplify right side
    782.31x = 542,907.24
  5. Step 5: Solve for x
    x = 542,907.24/782.31
  6. Step 6: Final answer
    x = 693.98

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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.