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Finding the Fourth Proportional to 500.09, 748.95 and 428

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Solution

The fourth proportional to 500.09, 748.95 and 428 is: 640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.09 : 748.95 = 428 : x
  2. Step 2: Convert to fraction form
    500.09/748.95 = 428/x
  3. Step 3: Cross multiply
    500.09x = 748.95 × 428
  4. Step 4: Simplify right side
    500.09x = 320,550.60
  5. Step 5: Solve for x
    x = 320,550.60/500.09
  6. Step 6: Final answer
    x = 640.99

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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.