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Finding the Fourth Proportional to 989.96, 1,364.65 and 657.65

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Solution

The fourth proportional to 989.96, 1,364.65 and 657.65 is: 906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.96 : 1,364.65 = 657.65 : x
  2. Step 2: Convert to fraction form
    989.96/1,364.65 = 657.65/x
  3. Step 3: Cross multiply
    989.96x = 1,364.65 × 657.65
  4. Step 4: Simplify right side
    989.96x = 897,463.84
  5. Step 5: Solve for x
    x = 897,463.84/989.96
  6. Step 6: Final answer
    x = 906.57

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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.