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Finding the Fourth Proportional to 424.73, 588.59 and 419.51

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Solution

The fourth proportional to 424.73, 588.59 and 419.51 is: 581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.73 : 588.59 = 419.51 : x
  2. Step 2: Convert to fraction form
    424.73/588.59 = 419.51/x
  3. Step 3: Cross multiply
    424.73x = 588.59 × 419.51
  4. Step 4: Simplify right side
    424.73x = 246,919.39
  5. Step 5: Solve for x
    x = 246,919.39/424.73
  6. Step 6: Final answer
    x = 581.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.