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Finding the Fourth Proportional to 499.91, 749.23 and 438.07

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Solution

The fourth proportional to 499.91, 749.23 and 438.07 is: 656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.91 : 749.23 = 438.07 : x
  2. Step 2: Convert to fraction form
    499.91/749.23 = 438.07/x
  3. Step 3: Cross multiply
    499.91x = 749.23 × 438.07
  4. Step 4: Simplify right side
    499.91x = 328,213.00
  5. Step 5: Solve for x
    x = 328,213.00/499.91
  6. Step 6: Final answer
    x = 656.54

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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.