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Finding the Fourth Proportional to 500.17, 686.56 and 443.67

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Solution

The fourth proportional to 500.17, 686.56 and 443.67 is: 609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.17 : 686.56 = 443.67 : x
  2. Step 2: Convert to fraction form
    500.17/686.56 = 443.67/x
  3. Step 3: Cross multiply
    500.17x = 686.56 × 443.67
  4. Step 4: Simplify right side
    500.17x = 304,608.90
  5. Step 5: Solve for x
    x = 304,608.90/500.17
  6. Step 6: Final answer
    x = 609.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.