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Finding the Fourth Proportional to 989.80, 1,365.50 and 596.60

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Solution

The fourth proportional to 989.80, 1,365.50 and 596.60 is: 823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.80 : 1,365.50 = 596.60 : x
  2. Step 2: Convert to fraction form
    989.80/1,365.50 = 596.60/x
  3. Step 3: Cross multiply
    989.80x = 1,365.50 × 596.60
  4. Step 4: Simplify right side
    989.80x = 814,654.32
  5. Step 5: Solve for x
    x = 814,654.32/989.80
  6. Step 6: Final answer
    x = 823.05

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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.