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Finding the Fourth Proportional to 662.89, 994.33 and 509.09

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Solution

The fourth proportional to 662.89, 994.33 and 509.09 is: 763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.89 : 994.33 = 509.09 : x
  2. Step 2: Convert to fraction form
    662.89/994.33 = 509.09/x
  3. Step 3: Cross multiply
    662.89x = 994.33 × 509.09
  4. Step 4: Simplify right side
    662.89x = 506,203.46
  5. Step 5: Solve for x
    x = 506,203.46/662.89
  6. Step 6: Final answer
    x = 763.64

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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.