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Finding the Fourth Proportional to 578.67, 797.96 and 410.55

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Solution

The fourth proportional to 578.67, 797.96 and 410.55 is: 566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 797.96 = 410.55 : x
  2. Step 2: Convert to fraction form
    578.67/797.96 = 410.55/x
  3. Step 3: Cross multiply
    578.67x = 797.96 × 410.55
  4. Step 4: Simplify right side
    578.67x = 327,600.43
  5. Step 5: Solve for x
    x = 327,600.43/578.67
  6. Step 6: Final answer
    x = 566.13

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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.