Home / 1,588.40-2,191.42-998.52

Finding the Fourth Proportional to 1,588.40, 2,191.42 and 998.52

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Solution

The fourth proportional to 1,588.40, 2,191.42 and 998.52 is: 1,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.40 : 2,191.42 = 998.52 : x
  2. Step 2: Convert to fraction form
    1,588.40/2,191.42 = 998.52/x
  3. Step 3: Cross multiply
    1,588.40x = 2,191.42 × 998.52
  4. Step 4: Simplify right side
    1,588.40x = 2,188,176.70
  5. Step 5: Solve for x
    x = 2,188,176.70/1,588.40
  6. Step 6: Final answer
    x = 1,377.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.