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Finding the Fourth Proportional to 617.76, 855.90 and 575.64

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Solution

The fourth proportional to 617.76, 855.90 and 575.64 is: 797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.76 : 855.90 = 575.64 : x
  2. Step 2: Convert to fraction form
    617.76/855.90 = 575.64/x
  3. Step 3: Cross multiply
    617.76x = 855.90 × 575.64
  4. Step 4: Simplify right side
    617.76x = 492,690.28
  5. Step 5: Solve for x
    x = 492,690.28/617.76
  6. Step 6: Final answer
    x = 797.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.