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Finding the Fourth Proportional to 1,588.75, 2,380.85 and 698.21

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Solution

The fourth proportional to 1,588.75, 2,380.85 and 698.21 is: 1,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.75 : 2,380.85 = 698.21 : x
  2. Step 2: Convert to fraction form
    1,588.75/2,380.85 = 698.21/x
  3. Step 3: Cross multiply
    1,588.75x = 2,380.85 × 698.21
  4. Step 4: Simplify right side
    1,588.75x = 1,662,345.26
  5. Step 5: Solve for x
    x = 1,662,345.26/1,588.75
  6. Step 6: Final answer
    x = 1,046.32

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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.