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Finding the Fourth Proportional to 782.51, 1,079.82 and 450.92

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Solution

The fourth proportional to 782.51, 1,079.82 and 450.92 is: 622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.51 : 1,079.82 = 450.92 : x
  2. Step 2: Convert to fraction form
    782.51/1,079.82 = 450.92/x
  3. Step 3: Cross multiply
    782.51x = 1,079.82 × 450.92
  4. Step 4: Simplify right side
    782.51x = 486,907.04
  5. Step 5: Solve for x
    x = 486,907.04/782.51
  6. Step 6: Final answer
    x = 622.24

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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.