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Finding the Fourth Proportional to 578.58, 797.28 and 491.10

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Solution

The fourth proportional to 578.58, 797.28 and 491.10 is: 676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.58 : 797.28 = 491.10 : x
  2. Step 2: Convert to fraction form
    578.58/797.28 = 491.10/x
  3. Step 3: Cross multiply
    578.58x = 797.28 × 491.10
  4. Step 4: Simplify right side
    578.58x = 391,544.21
  5. Step 5: Solve for x
    x = 391,544.21/578.58
  6. Step 6: Final answer
    x = 676.73

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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.