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Finding the Fourth Proportional to 578.80, 797.88 and 448.12

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Solution

The fourth proportional to 578.80, 797.88 and 448.12 is: 617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.80 : 797.88 = 448.12 : x
  2. Step 2: Convert to fraction form
    578.80/797.88 = 448.12/x
  3. Step 3: Cross multiply
    578.80x = 797.88 × 448.12
  4. Step 4: Simplify right side
    578.80x = 357,545.99
  5. Step 5: Solve for x
    x = 357,545.99/578.80
  6. Step 6: Final answer
    x = 617.74

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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.