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Finding the Fourth Proportional to 782.92, 1,080.28 and 472.44

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Solution

The fourth proportional to 782.92, 1,080.28 and 472.44 is: 651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.92 : 1,080.28 = 472.44 : x
  2. Step 2: Convert to fraction form
    782.92/1,080.28 = 472.44/x
  3. Step 3: Cross multiply
    782.92x = 1,080.28 × 472.44
  4. Step 4: Simplify right side
    782.92x = 510,367.48
  5. Step 5: Solve for x
    x = 510,367.48/782.92
  6. Step 6: Final answer
    x = 651.88

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1.5x scale

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.