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Finding the Fourth Proportional to 988.69, 1,364.43 and 739.57

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Solution

The fourth proportional to 988.69, 1,364.43 and 739.57 is: 1,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.69 : 1,364.43 = 739.57 : x
  2. Step 2: Convert to fraction form
    988.69/1,364.43 = 739.57/x
  3. Step 3: Cross multiply
    988.69x = 1,364.43 × 739.57
  4. Step 4: Simplify right side
    988.69x = 1,009,091.50
  5. Step 5: Solve for x
    x = 1,009,091.50/988.69
  6. Step 6: Final answer
    x = 1,020.63

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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.