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Finding the Fourth Proportional to 648.50, 894.33 and 500.90

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Solution

The fourth proportional to 648.50, 894.33 and 500.90 is: 690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.50 : 894.33 = 500.90 : x
  2. Step 2: Convert to fraction form
    648.50/894.33 = 500.90/x
  3. Step 3: Cross multiply
    648.50x = 894.33 × 500.90
  4. Step 4: Simplify right side
    648.50x = 447,969.90
  5. Step 5: Solve for x
    x = 447,969.90/648.50
  6. Step 6: Final answer
    x = 690.78

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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.