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Finding the Fourth Proportional to 782.37, 1,079.53 and 450.82

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Solution

The fourth proportional to 782.37, 1,079.53 and 450.82 is: 622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.37 : 1,079.53 = 450.82 : x
  2. Step 2: Convert to fraction form
    782.37/1,079.53 = 450.82/x
  3. Step 3: Cross multiply
    782.37x = 1,079.53 × 450.82
  4. Step 4: Simplify right side
    782.37x = 486,669.89
  5. Step 5: Solve for x
    x = 486,669.89/782.37
  6. Step 6: Final answer
    x = 622.05

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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.