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Finding the Fourth Proportional to 617.44, 853.71 and 539.62

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Solution

The fourth proportional to 617.44, 853.71 and 539.62 is: 746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.44 : 853.71 = 539.62 : x
  2. Step 2: Convert to fraction form
    617.44/853.71 = 539.62/x
  3. Step 3: Cross multiply
    617.44x = 853.71 × 539.62
  4. Step 4: Simplify right side
    617.44x = 460,678.99
  5. Step 5: Solve for x
    x = 460,678.99/617.44
  6. Step 6: Final answer
    x = 746.11

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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.