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Finding the Fourth Proportional to 665.01, 996.03 and 509.79

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Solution

The fourth proportional to 665.01, 996.03 and 509.79 is: 763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.01 : 996.03 = 509.79 : x
  2. Step 2: Convert to fraction form
    665.01/996.03 = 509.79/x
  3. Step 3: Cross multiply
    665.01x = 996.03 × 509.79
  4. Step 4: Simplify right side
    665.01x = 507,769.87
  5. Step 5: Solve for x
    x = 507,769.87/665.01
  6. Step 6: Final answer
    x = 763.55

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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.