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Finding the Fourth Proportional to 1,390.05, 2,084.94 and 465.57

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Solution

The fourth proportional to 1,390.05, 2,084.94 and 465.57 is: 698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.05 : 2,084.94 = 465.57 : x
  2. Step 2: Convert to fraction form
    1,390.05/2,084.94 = 465.57/x
  3. Step 3: Cross multiply
    1,390.05x = 2,084.94 × 465.57
  4. Step 4: Simplify right side
    1,390.05x = 970,685.52
  5. Step 5: Solve for x
    x = 970,685.52/1,390.05
  6. Step 6: Final answer
    x = 698.31

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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.