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Finding the Fourth Proportional to 997.09, 1,494.19 and 509.47

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Solution

The fourth proportional to 997.09, 1,494.19 and 509.47 is: 763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.09 : 1,494.19 = 509.47 : x
  2. Step 2: Convert to fraction form
    997.09/1,494.19 = 509.47/x
  3. Step 3: Cross multiply
    997.09x = 1,494.19 × 509.47
  4. Step 4: Simplify right side
    997.09x = 761,244.98
  5. Step 5: Solve for x
    x = 761,244.98/997.09
  6. Step 6: Final answer
    x = 763.47

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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.