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Finding the Fourth Proportional to 619.92, 853.61 and 537.03

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Solution

The fourth proportional to 619.92, 853.61 and 537.03 is: 739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.92 : 853.61 = 537.03 : x
  2. Step 2: Convert to fraction form
    619.92/853.61 = 537.03/x
  3. Step 3: Cross multiply
    619.92x = 853.61 × 537.03
  4. Step 4: Simplify right side
    619.92x = 458,411.49
  5. Step 5: Solve for x
    x = 458,411.49/619.92
  6. Step 6: Final answer
    x = 739.47

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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.