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Finding the Fourth Proportional to 578.82, 797.99 and 453.99

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Solution

The fourth proportional to 578.82, 797.99 and 453.99 is: 625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.82 : 797.99 = 453.99 : x
  2. Step 2: Convert to fraction form
    578.82/797.99 = 453.99/x
  3. Step 3: Cross multiply
    578.82x = 797.99 × 453.99
  4. Step 4: Simplify right side
    578.82x = 362,277.21
  5. Step 5: Solve for x
    x = 362,277.21/578.82
  6. Step 6: Final answer
    x = 625.89

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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.