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Finding the Fourth Proportional to 1,390.52, 2,084.20 and 465.86

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Solution

The fourth proportional to 1,390.52, 2,084.20 and 465.86 is: 698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.52 : 2,084.20 = 465.86 : x
  2. Step 2: Convert to fraction form
    1,390.52/2,084.20 = 465.86/x
  3. Step 3: Cross multiply
    1,390.52x = 2,084.20 × 465.86
  4. Step 4: Simplify right side
    1,390.52x = 970,945.41
  5. Step 5: Solve for x
    x = 970,945.41/1,390.52
  6. Step 6: Final answer
    x = 698.26

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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.