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Finding the Fourth Proportional to 989.18, 1,365.06 and 596.13

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Solution

The fourth proportional to 989.18, 1,365.06 and 596.13 is: 822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.18 : 1,365.06 = 596.13 : x
  2. Step 2: Convert to fraction form
    989.18/1,365.06 = 596.13/x
  3. Step 3: Cross multiply
    989.18x = 1,365.06 × 596.13
  4. Step 4: Simplify right side
    989.18x = 813,753.22
  5. Step 5: Solve for x
    x = 813,753.22/989.18
  6. Step 6: Final answer
    x = 822.65

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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.