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Finding the Fourth Proportional to 782.35, 1,079.75 and 450.77

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Solution

The fourth proportional to 782.35, 1,079.75 and 450.77 is: 622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.35 : 1,079.75 = 450.77 : x
  2. Step 2: Convert to fraction form
    782.35/1,079.75 = 450.77/x
  3. Step 3: Cross multiply
    782.35x = 1,079.75 × 450.77
  4. Step 4: Simplify right side
    782.35x = 486,718.91
  5. Step 5: Solve for x
    x = 486,718.91/782.35
  6. Step 6: Final answer
    x = 622.12

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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.