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Finding the Fourth Proportional to 989.19, 1,364.79 and 596.19

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Solution

The fourth proportional to 989.19, 1,364.79 and 596.19 is: 822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.19 : 1,364.79 = 596.19 : x
  2. Step 2: Convert to fraction form
    989.19/1,364.79 = 596.19/x
  3. Step 3: Cross multiply
    989.19x = 1,364.79 × 596.19
  4. Step 4: Simplify right side
    989.19x = 813,674.15
  5. Step 5: Solve for x
    x = 813,674.15/989.19
  6. Step 6: Final answer
    x = 822.57

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Double scale
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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.