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Finding the Fourth Proportional to 782.19, 1,079.69 and 450.74

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Solution

The fourth proportional to 782.19, 1,079.69 and 450.74 is: 622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.19 : 1,079.69 = 450.74 : x
  2. Step 2: Convert to fraction form
    782.19/1,079.69 = 450.74/x
  3. Step 3: Cross multiply
    782.19x = 1,079.69 × 450.74
  4. Step 4: Simplify right side
    782.19x = 486,661.61
  5. Step 5: Solve for x
    x = 486,661.61/782.19
  6. Step 6: Final answer
    x = 622.18

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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.