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Finding the Fourth Proportional to 2,133.50, 3,200.79 and 594.50

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Solution

The fourth proportional to 2,133.50, 3,200.79 and 594.50 is: 891.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.50 : 3,200.79 = 594.50 : x
  2. Step 2: Convert to fraction form
    2,133.50/3,200.79 = 594.50/x
  3. Step 3: Cross multiply
    2,133.50x = 3,200.79 × 594.50
  4. Step 4: Simplify right side
    2,133.50x = 1,902,869.66
  5. Step 5: Solve for x
    x = 1,902,869.66/2,133.50
  6. Step 6: Final answer
    x = 891.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.