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Finding the Fourth Proportional to 617.87, 853.40 and 488.59

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Solution

The fourth proportional to 617.87, 853.40 and 488.59 is: 674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.87 : 853.40 = 488.59 : x
  2. Step 2: Convert to fraction form
    617.87/853.40 = 488.59/x
  3. Step 3: Cross multiply
    617.87x = 853.40 × 488.59
  4. Step 4: Simplify right side
    617.87x = 416,959.66
  5. Step 5: Solve for x
    x = 416,959.66/617.87
  6. Step 6: Final answer
    x = 674.84

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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.