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Finding the Fourth Proportional to 782.50, 1,079.89 and 450.96

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Solution

The fourth proportional to 782.50, 1,079.89 and 450.96 is: 622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.50 : 1,079.89 = 450.96 : x
  2. Step 2: Convert to fraction form
    782.50/1,079.89 = 450.96/x
  3. Step 3: Cross multiply
    782.50x = 1,079.89 × 450.96
  4. Step 4: Simplify right side
    782.50x = 486,986.07
  5. Step 5: Solve for x
    x = 486,986.07/782.50
  6. Step 6: Final answer
    x = 622.35

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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.