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Finding the Fourth Proportional to 605, 832.38 and 539.36

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Solution

The fourth proportional to 605, 832.38 and 539.36 is: 742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    605 : 832.38 = 539.36 : x
  2. Step 2: Convert to fraction form
    605/832.38 = 539.36/x
  3. Step 3: Cross multiply
    605x = 832.38 × 539.36
  4. Step 4: Simplify right side
    605x = 448,952.48
  5. Step 5: Solve for x
    x = 448,952.48/605
  6. Step 6: Final answer
    x = 742.07

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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.