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Finding the Fourth Proportional to 500.88, 754.32 and 440.67

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Solution

The fourth proportional to 500.88, 754.32 and 440.67 is: 663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.88 : 754.32 = 440.67 : x
  2. Step 2: Convert to fraction form
    500.88/754.32 = 440.67/x
  3. Step 3: Cross multiply
    500.88x = 754.32 × 440.67
  4. Step 4: Simplify right side
    500.88x = 332,406.19
  5. Step 5: Solve for x
    x = 332,406.19/500.88
  6. Step 6: Final answer
    x = 663.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.