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Finding the Fourth Proportional to 605.50, 833.08 and 534.31

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Solution

The fourth proportional to 605.50, 833.08 and 534.31 is: 735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.50 : 833.08 = 534.31 : x
  2. Step 2: Convert to fraction form
    605.50/833.08 = 534.31/x
  3. Step 3: Cross multiply
    605.50x = 833.08 × 534.31
  4. Step 4: Simplify right side
    605.50x = 445,122.68
  5. Step 5: Solve for x
    x = 445,122.68/605.50
  6. Step 6: Final answer
    x = 735.13

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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.