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Finding the Fourth Proportional to 781.99, 1,079.02 and 450.46

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Solution

The fourth proportional to 781.99, 1,079.02 and 450.46 is: 621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.99 : 1,079.02 = 450.46 : x
  2. Step 2: Convert to fraction form
    781.99/1,079.02 = 450.46/x
  3. Step 3: Cross multiply
    781.99x = 1,079.02 × 450.46
  4. Step 4: Simplify right side
    781.99x = 486,057.26
  5. Step 5: Solve for x
    x = 486,057.26/781.99
  6. Step 6: Final answer
    x = 621.57

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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.