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Finding the Fourth Proportional to 509.05, 763.71 and 412.45

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Solution

The fourth proportional to 509.05, 763.71 and 412.45 is: 618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.05 : 763.71 = 412.45 : x
  2. Step 2: Convert to fraction form
    509.05/763.71 = 412.45/x
  3. Step 3: Cross multiply
    509.05x = 763.71 × 412.45
  4. Step 4: Simplify right side
    509.05x = 314,992.19
  5. Step 5: Solve for x
    x = 314,992.19/509.05
  6. Step 6: Final answer
    x = 618.78

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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.