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Finding the Fourth Proportional to 1,389.26, 2,084.57 and 658.64

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Solution

The fourth proportional to 1,389.26, 2,084.57 and 658.64 is: 988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.26 : 2,084.57 = 658.64 : x
  2. Step 2: Convert to fraction form
    1,389.26/2,084.57 = 658.64/x
  3. Step 3: Cross multiply
    1,389.26x = 2,084.57 × 658.64
  4. Step 4: Simplify right side
    1,389.26x = 1,372,967.47
  5. Step 5: Solve for x
    x = 1,372,967.47/1,389.26
  6. Step 6: Final answer
    x = 988.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.