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Finding the Fourth Proportional to 782.30, 1,079.82 and 467.80

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Solution

The fourth proportional to 782.30, 1,079.82 and 467.80 is: 645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.30 : 1,079.82 = 467.80 : x
  2. Step 2: Convert to fraction form
    782.30/1,079.82 = 467.80/x
  3. Step 3: Cross multiply
    782.30x = 1,079.82 × 467.80
  4. Step 4: Simplify right side
    782.30x = 505,132.06
  5. Step 5: Solve for x
    x = 505,132.06/782.30
  6. Step 6: Final answer
    x = 645.70

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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.