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Finding the Fourth Proportional to 451.61, 674.09 and 419.51

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Solution

The fourth proportional to 451.61, 674.09 and 419.51 is: 626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.61 : 674.09 = 419.51 : x
  2. Step 2: Convert to fraction form
    451.61/674.09 = 419.51/x
  3. Step 3: Cross multiply
    451.61x = 674.09 × 419.51
  4. Step 4: Simplify right side
    451.61x = 282,782.03
  5. Step 5: Solve for x
    x = 282,782.03/451.61
  6. Step 6: Final answer
    x = 626.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.