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Finding the Fourth Proportional to 500.73, 750.23 and 450

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Solution

The fourth proportional to 500.73, 750.23 and 450 is: 674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.73 : 750.23 = 450 : x
  2. Step 2: Convert to fraction form
    500.73/750.23 = 450/x
  3. Step 3: Cross multiply
    500.73x = 750.23 × 450
  4. Step 4: Simplify right side
    500.73x = 337,603.50
  5. Step 5: Solve for x
    x = 337,603.50/500.73
  6. Step 6: Final answer
    x = 674.22

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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.