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Finding the Fourth Proportional to 617.49, 853.34 and 506.75

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Solution

The fourth proportional to 617.49, 853.34 and 506.75 is: 700.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.49 : 853.34 = 506.75 : x
  2. Step 2: Convert to fraction form
    617.49/853.34 = 506.75/x
  3. Step 3: Cross multiply
    617.49x = 853.34 × 506.75
  4. Step 4: Simplify right side
    617.49x = 432,423.24
  5. Step 5: Solve for x
    x = 432,423.24/617.49
  6. Step 6: Final answer
    x = 700.29

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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.