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Finding the Fourth Proportional to 450.09, 619.79 and 417.42

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Solution

The fourth proportional to 450.09, 619.79 and 417.42 is: 574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.09 : 619.79 = 417.42 : x
  2. Step 2: Convert to fraction form
    450.09/619.79 = 417.42/x
  3. Step 3: Cross multiply
    450.09x = 619.79 × 417.42
  4. Step 4: Simplify right side
    450.09x = 258,710.65
  5. Step 5: Solve for x
    x = 258,710.65/450.09
  6. Step 6: Final answer
    x = 574.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.