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Finding the Fourth Proportional to 1,388.81, 2,084.24 and 658.39

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Solution

The fourth proportional to 1,388.81, 2,084.24 and 658.39 is: 988.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.81 : 2,084.24 = 658.39 : x
  2. Step 2: Convert to fraction form
    1,388.81/2,084.24 = 658.39/x
  3. Step 3: Cross multiply
    1,388.81x = 2,084.24 × 658.39
  4. Step 4: Simplify right side
    1,388.81x = 1,372,242.77
  5. Step 5: Solve for x
    x = 1,372,242.77/1,388.81
  6. Step 6: Final answer
    x = 988.07

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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.