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Finding the Fourth Proportional to 782.43, 1,079.57 and 467.80

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Solution

The fourth proportional to 782.43, 1,079.57 and 467.80 is: 645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.43 : 1,079.57 = 467.80 : x
  2. Step 2: Convert to fraction form
    782.43/1,079.57 = 467.80/x
  3. Step 3: Cross multiply
    782.43x = 1,079.57 × 467.80
  4. Step 4: Simplify right side
    782.43x = 505,021.32
  5. Step 5: Solve for x
    x = 505,021.32/782.43
  6. Step 6: Final answer
    x = 645.45

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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.