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Finding the Fourth Proportional to 782.66, 1,079.79 and 450.90

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Solution

The fourth proportional to 782.66, 1,079.79 and 450.90 is: 622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.66 : 1,079.79 = 450.90 : x
  2. Step 2: Convert to fraction form
    782.66/1,079.79 = 450.90/x
  3. Step 3: Cross multiply
    782.66x = 1,079.79 × 450.90
  4. Step 4: Simplify right side
    782.66x = 486,871.91
  5. Step 5: Solve for x
    x = 486,871.91/782.66
  6. Step 6: Final answer
    x = 622.08

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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.