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Finding the Fourth Proportional to 782.06, 1,079.10 and 450.36

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Solution

The fourth proportional to 782.06, 1,079.10 and 450.36 is: 621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.06 : 1,079.10 = 450.36 : x
  2. Step 2: Convert to fraction form
    782.06/1,079.10 = 450.36/x
  3. Step 3: Cross multiply
    782.06x = 1,079.10 × 450.36
  4. Step 4: Simplify right side
    782.06x = 485,983.48
  5. Step 5: Solve for x
    x = 485,983.48/782.06
  6. Step 6: Final answer
    x = 621.42

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1.5x scale

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.