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Finding the Fourth Proportional to 539.82, 810.41 and 424.67

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Solution

The fourth proportional to 539.82, 810.41 and 424.67 is: 637.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.82 : 810.41 = 424.67 : x
  2. Step 2: Convert to fraction form
    539.82/810.41 = 424.67/x
  3. Step 3: Cross multiply
    539.82x = 810.41 × 424.67
  4. Step 4: Simplify right side
    539.82x = 344,150.64
  5. Step 5: Solve for x
    x = 344,150.64/539.82
  6. Step 6: Final answer
    x = 637.53

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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.