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Finding the Fourth Proportional to 617.77, 853.26 and 451.72

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Solution

The fourth proportional to 617.77, 853.26 and 451.72 is: 623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.77 : 853.26 = 451.72 : x
  2. Step 2: Convert to fraction form
    617.77/853.26 = 451.72/x
  3. Step 3: Cross multiply
    617.77x = 853.26 × 451.72
  4. Step 4: Simplify right side
    617.77x = 385,434.61
  5. Step 5: Solve for x
    x = 385,434.61/617.77
  6. Step 6: Final answer
    x = 623.91

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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.