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Finding the Fourth Proportional to 617.36, 853.65 and 588.31

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Solution

The fourth proportional to 617.36, 853.65 and 588.31 is: 813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.36 : 853.65 = 588.31 : x
  2. Step 2: Convert to fraction form
    617.36/853.65 = 588.31/x
  3. Step 3: Cross multiply
    617.36x = 853.65 × 588.31
  4. Step 4: Simplify right side
    617.36x = 502,208.70
  5. Step 5: Solve for x
    x = 502,208.70/617.36
  6. Step 6: Final answer
    x = 813.48

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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.