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Finding the Fourth Proportional to 776.01, 1,162.10 and 450.39

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Solution

The fourth proportional to 776.01, 1,162.10 and 450.39 is: 674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.01 : 1,162.10 = 450.39 : x
  2. Step 2: Convert to fraction form
    776.01/1,162.10 = 450.39/x
  3. Step 3: Cross multiply
    776.01x = 1,162.10 × 450.39
  4. Step 4: Simplify right side
    776.01x = 523,395.97
  5. Step 5: Solve for x
    x = 523,395.97/776.01
  6. Step 6: Final answer
    x = 674.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.