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Finding the Fourth Proportional to 477.50, 663.39 and 468.38

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Solution

The fourth proportional to 477.50, 663.39 and 468.38 is: 650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.50 : 663.39 = 468.38 : x
  2. Step 2: Convert to fraction form
    477.50/663.39 = 468.38/x
  3. Step 3: Cross multiply
    477.50x = 663.39 × 468.38
  4. Step 4: Simplify right side
    477.50x = 310,720.27
  5. Step 5: Solve for x
    x = 310,720.27/477.50
  6. Step 6: Final answer
    x = 650.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.