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Finding the Fourth Proportional to 578.02, 797.70 and 422.50

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Solution

The fourth proportional to 578.02, 797.70 and 422.50 is: 583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.02 : 797.70 = 422.50 : x
  2. Step 2: Convert to fraction form
    578.02/797.70 = 422.50/x
  3. Step 3: Cross multiply
    578.02x = 797.70 × 422.50
  4. Step 4: Simplify right side
    578.02x = 337,028.25
  5. Step 5: Solve for x
    x = 337,028.25/578.02
  6. Step 6: Final answer
    x = 583.07

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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.