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Finding the Fourth Proportional to 688.34, 1,028.83 and 599.80

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Solution

The fourth proportional to 688.34, 1,028.83 and 599.80 is: 896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.34 : 1,028.83 = 599.80 : x
  2. Step 2: Convert to fraction form
    688.34/1,028.83 = 599.80/x
  3. Step 3: Cross multiply
    688.34x = 1,028.83 × 599.80
  4. Step 4: Simplify right side
    688.34x = 617,092.23
  5. Step 5: Solve for x
    x = 617,092.23/688.34
  6. Step 6: Final answer
    x = 896.49

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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.