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Finding the Fourth Proportional to 989.86, 1,365.36 and 596.50

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Solution

The fourth proportional to 989.86, 1,365.36 and 596.50 is: 822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.86 : 1,365.36 = 596.50 : x
  2. Step 2: Convert to fraction form
    989.86/1,365.36 = 596.50/x
  3. Step 3: Cross multiply
    989.86x = 1,365.36 × 596.50
  4. Step 4: Simplify right side
    989.86x = 814,437.24
  5. Step 5: Solve for x
    x = 814,437.24/989.86
  6. Step 6: Final answer
    x = 822.78

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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.