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Finding the Fourth Proportional to 1,390.33, 2,084.04 and 659.04

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Solution

The fourth proportional to 1,390.33, 2,084.04 and 659.04 is: 987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.33 : 2,084.04 = 659.04 : x
  2. Step 2: Convert to fraction form
    1,390.33/2,084.04 = 659.04/x
  3. Step 3: Cross multiply
    1,390.33x = 2,084.04 × 659.04
  4. Step 4: Simplify right side
    1,390.33x = 1,373,465.72
  5. Step 5: Solve for x
    x = 1,373,465.72/1,390.33
  6. Step 6: Final answer
    x = 987.87

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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.