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Finding the Fourth Proportional to 604.20, 832.74 and 498.67

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Solution

The fourth proportional to 604.20, 832.74 and 498.67 is: 687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.20 : 832.74 = 498.67 : x
  2. Step 2: Convert to fraction form
    604.20/832.74 = 498.67/x
  3. Step 3: Cross multiply
    604.20x = 832.74 × 498.67
  4. Step 4: Simplify right side
    604.20x = 415,255.80
  5. Step 5: Solve for x
    x = 415,255.80/604.20
  6. Step 6: Final answer
    x = 687.28

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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.