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Finding the Fourth Proportional to 782.66, 1,080.02 and 467.72

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Solution

The fourth proportional to 782.66, 1,080.02 and 467.72 is: 645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.66 : 1,080.02 = 467.72 : x
  2. Step 2: Convert to fraction form
    782.66/1,080.02 = 467.72/x
  3. Step 3: Cross multiply
    782.66x = 1,080.02 × 467.72
  4. Step 4: Simplify right side
    782.66x = 505,146.95
  5. Step 5: Solve for x
    x = 505,146.95/782.66
  6. Step 6: Final answer
    x = 645.42

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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.