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Finding the Fourth Proportional to 509.09, 767.10 and 419.79

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Solution

The fourth proportional to 509.09, 767.10 and 419.79 is: 632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.09 : 767.10 = 419.79 : x
  2. Step 2: Convert to fraction form
    509.09/767.10 = 419.79/x
  3. Step 3: Cross multiply
    509.09x = 767.10 × 419.79
  4. Step 4: Simplify right side
    509.09x = 322,020.91
  5. Step 5: Solve for x
    x = 322,020.91/509.09
  6. Step 6: Final answer
    x = 632.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.