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Finding the Fourth Proportional to 578.58, 799.29 and 468.78

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Solution

The fourth proportional to 578.58, 799.29 and 468.78 is: 647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.58 : 799.29 = 468.78 : x
  2. Step 2: Convert to fraction form
    578.58/799.29 = 468.78/x
  3. Step 3: Cross multiply
    578.58x = 799.29 × 468.78
  4. Step 4: Simplify right side
    578.58x = 374,691.17
  5. Step 5: Solve for x
    x = 374,691.17/578.58
  6. Step 6: Final answer
    x = 647.60

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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.