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Finding the Fourth Proportional to 614.37, 853.34 and 597.09

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Solution

The fourth proportional to 614.37, 853.34 and 597.09 is: 829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.37 : 853.34 = 597.09 : x
  2. Step 2: Convert to fraction form
    614.37/853.34 = 597.09/x
  3. Step 3: Cross multiply
    614.37x = 853.34 × 597.09
  4. Step 4: Simplify right side
    614.37x = 509,520.78
  5. Step 5: Solve for x
    x = 509,520.78/614.37
  6. Step 6: Final answer
    x = 829.34

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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.