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Finding the Fourth Proportional to 782.99, 1,080.40 and 451.46

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Solution

The fourth proportional to 782.99, 1,080.40 and 451.46 is: 622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.99 : 1,080.40 = 451.46 : x
  2. Step 2: Convert to fraction form
    782.99/1,080.40 = 451.46/x
  3. Step 3: Cross multiply
    782.99x = 1,080.40 × 451.46
  4. Step 4: Simplify right side
    782.99x = 487,757.38
  5. Step 5: Solve for x
    x = 487,757.38/782.99
  6. Step 6: Final answer
    x = 622.94

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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.