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Finding the Fourth Proportional to 829.35, 1,239.57 and 596.70

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Solution

The fourth proportional to 829.35, 1,239.57 and 596.70 is: 891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.35 : 1,239.57 = 596.70 : x
  2. Step 2: Convert to fraction form
    829.35/1,239.57 = 596.70/x
  3. Step 3: Cross multiply
    829.35x = 1,239.57 × 596.70
  4. Step 4: Simplify right side
    829.35x = 739,651.42
  5. Step 5: Solve for x
    x = 739,651.42/829.35
  6. Step 6: Final answer
    x = 891.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.